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Finding the Third Proportional to 38,642,437.13 and 83,338,144.73

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Solution

The third proportional to 38,642,437.13 and 83,338,144.73 is: 179,731,064.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642,437.13 : 83,338,144.73 = 83,338,144.73 : x
  2. Step 2: Convert to fraction form
    38,642,437.13/83,338,144.73 = 83,338,144.73/x
  3. Step 3: Cross multiply
    38,642,437.13x = 83,338,144.73 × 83,338,144.73
  4. Step 4: Simplify right side
    38,642,437.13x = 6,945,246,367,767,636
  5. Step 5: Solve for x
    x = 6,945,246,367,767,636/38,642,437.13
  6. Step 6: Final answer
    x = 179,731,064.72

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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.