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Finding the Third Proportional to 13,713,814 and 29,491,508

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Solution

The third proportional to 13,713,814 and 29,491,508 is: 63,421,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713,814 : 29,491,508 = 29,491,508 : x
  2. Step 2: Convert to fraction form
    13,713,814/29,491,508 = 29,491,508/x
  3. Step 3: Cross multiply
    13,713,814x = 29,491,508 × 29,491,508
  4. Step 4: Simplify right side
    13,713,814x = 869,749,044,114,064
  5. Step 5: Solve for x
    x = 869,749,044,114,064/13,713,814
  6. Step 6: Final answer
    x = 63,421,382.56

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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.