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Finding the Third Proportional to 13,722,735 and 29,220,342

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Solution

The third proportional to 13,722,735 and 29,220,342 is: 62,219,986.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722,735 : 29,220,342 = 29,220,342 : x
  2. Step 2: Convert to fraction form
    13,722,735/29,220,342 = 29,220,342/x
  3. Step 3: Cross multiply
    13,722,735x = 29,220,342 × 29,220,342
  4. Step 4: Simplify right side
    13,722,735x = 853,828,386,596,964
  5. Step 5: Solve for x
    x = 853,828,386,596,964/13,722,735
  6. Step 6: Final answer
    x = 62,219,986.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.