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Finding the Third Proportional to 332,552,395.13 and 467,712,694.13

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Solution

The third proportional to 332,552,395.13 and 467,712,694.13 is: 657,806,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,552,395.13 : 467,712,694.13 = 467,712,694.13 : x
  2. Step 2: Convert to fraction form
    332,552,395.13/467,712,694.13 = 467,712,694.13/x
  3. Step 3: Cross multiply
    332,552,395.13x = 467,712,694.13 × 467,712,694.13
  4. Step 4: Simplify right side
    332,552,395.13x = 218,755,164,245,665,824
  5. Step 5: Solve for x
    x = 218,755,164,245,665,824/332,552,395.13
  6. Step 6: Final answer
    x = 657,806,611.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.