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Finding the Third Proportional to 4,732,354.13 and 10,293,864.75

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Solution

The third proportional to 4,732,354.13 and 10,293,864.75 is: 22,391,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,354.13 : 10,293,864.75 = 10,293,864.75 : x
  2. Step 2: Convert to fraction form
    4,732,354.13/10,293,864.75 = 10,293,864.75/x
  3. Step 3: Cross multiply
    4,732,354.13x = 10,293,864.75 × 10,293,864.75
  4. Step 4: Simplify right side
    4,732,354.13x = 105,963,651,491,292.56
  5. Step 5: Solve for x
    x = 105,963,651,491,292.56/4,732,354.13
  6. Step 6: Final answer
    x = 22,391,319.14

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