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Finding the Third Proportional to 13,683,376 and 29,536,256

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Solution

The third proportional to 13,683,376 and 29,536,256 is: 63,755,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,683,376 : 29,536,256 = 29,536,256 : x
  2. Step 2: Convert to fraction form
    13,683,376/29,536,256 = 29,536,256/x
  3. Step 3: Cross multiply
    13,683,376x = 29,536,256 × 29,536,256
  4. Step 4: Simplify right side
    13,683,376x = 872,390,418,497,536
  5. Step 5: Solve for x
    x = 872,390,418,497,536/13,683,376
  6. Step 6: Final answer
    x = 63,755,495.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.