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Finding the Third Proportional to 4,624,662,614,808.20 and 9,920,670,573,023.90

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Solution

The third proportional to 4,624,662,614,808.20 and 9,920,670,573,023.90 is: 21,281,488,578,933.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624,662,614,808.20 : 9,920,670,573,023.90 = 9,920,670,573,023.90 : x
  2. Step 2: Convert to fraction form
    4,624,662,614,808.20/9,920,670,573,023.90 = 9,920,670,573,023.90/x
  3. Step 3: Cross multiply
    4,624,662,614,808.20x = 9,920,670,573,023.90 × 9,920,670,573,023.90
  4. Step 4: Simplify right side
    4,624,662,614,808.20x = 98,419,704,618,462,357,053,505,536
  5. Step 5: Solve for x
    x = 98,419,704,618,462,357,053,505,536/4,624,662,614,808.20
  6. Step 6: Final answer
    x = 21,281,488,578,933.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.