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Finding the Third Proportional to 2,711,295,602,462.20 and 5,899,171,816,488.30

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Solution

The third proportional to 2,711,295,602,462.20 and 5,899,171,816,488.30 is: 12,835,276,274,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,295,602,462.20 : 5,899,171,816,488.30 = 5,899,171,816,488.30 : x
  2. Step 2: Convert to fraction form
    2,711,295,602,462.20/5,899,171,816,488.30 = 5,899,171,816,488.30/x
  3. Step 3: Cross multiply
    2,711,295,602,462.20x = 5,899,171,816,488.30 × 5,899,171,816,488.30
  4. Step 4: Simplify right side
    2,711,295,602,462.20x = 34,800,228,120,449,866,012,819,456
  5. Step 5: Solve for x
    x = 34,800,228,120,449,866,012,819,456/2,711,295,602,462.20
  6. Step 6: Final answer
    x = 12,835,276,274,872.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.