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Finding the Third Proportional to 13,713,784 and 29,491,448

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Solution

The third proportional to 13,713,784 and 29,491,448 is: 63,421,263.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713,784 : 29,491,448 = 29,491,448 : x
  2. Step 2: Convert to fraction form
    13,713,784/29,491,448 = 29,491,448/x
  3. Step 3: Cross multiply
    13,713,784x = 29,491,448 × 29,491,448
  4. Step 4: Simplify right side
    13,713,784x = 869,745,505,136,704
  5. Step 5: Solve for x
    x = 869,745,505,136,704/13,713,784
  6. Step 6: Final answer
    x = 63,421,263.24

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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.