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Finding the Third Proportional to 38,642,444 and 83,338,163

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Solution

The third proportional to 38,642,444 and 83,338,163 is: 179,731,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,642,444 : 83,338,163 = 83,338,163 : x
  2. Step 2: Convert to fraction form
    38,642,444/83,338,163 = 83,338,163/x
  3. Step 3: Cross multiply
    38,642,444x = 83,338,163 × 83,338,163
  4. Step 4: Simplify right side
    38,642,444x = 6,945,249,412,214,569
  5. Step 5: Solve for x
    x = 6,945,249,412,214,569/38,642,444
  6. Step 6: Final answer
    x = 179,731,111.53

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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.