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Finding the Third Proportional to 3,000,812,285,633.40 and 4,048,800,293,806.20

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Solution

The third proportional to 3,000,812,285,633.40 and 4,048,800,293,806.20 is: 5,462,782,159,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000,812,285,633.40 : 4,048,800,293,806.20 = 4,048,800,293,806.20 : x
  2. Step 2: Convert to fraction form
    3,000,812,285,633.40/4,048,800,293,806.20 = 4,048,800,293,806.20/x
  3. Step 3: Cross multiply
    3,000,812,285,633.40x = 4,048,800,293,806.20 × 4,048,800,293,806.20
  4. Step 4: Simplify right side
    3,000,812,285,633.40x = 16,392,783,819,125,172,142,604,288
  5. Step 5: Solve for x
    x = 16,392,783,819,125,172,142,604,288/3,000,812,285,633.40
  6. Step 6: Final answer
    x = 5,462,782,159,886.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.