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Finding the Third Proportional to 13,722,896 and 29,220,640

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Solution

The third proportional to 13,722,896 and 29,220,640 is: 62,220,525.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722,896 : 29,220,640 = 29,220,640 : x
  2. Step 2: Convert to fraction form
    13,722,896/29,220,640 = 29,220,640/x
  3. Step 3: Cross multiply
    13,722,896x = 29,220,640 × 29,220,640
  4. Step 4: Simplify right side
    13,722,896x = 853,845,802,009,600
  5. Step 5: Solve for x
    x = 853,845,802,009,600/13,722,896
  6. Step 6: Final answer
    x = 62,220,525.61

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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.