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Finding the Third Proportional to 38,338,080 and 83,394,624

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Solution

The third proportional to 38,338,080 and 83,394,624 is: 181,403,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,338,080 : 83,394,624 = 83,394,624 : x
  2. Step 2: Convert to fraction form
    38,338,080/83,394,624 = 83,394,624/x
  3. Step 3: Cross multiply
    38,338,080x = 83,394,624 × 83,394,624
  4. Step 4: Simplify right side
    38,338,080x = 6,954,663,312,101,376
  5. Step 5: Solve for x
    x = 6,954,663,312,101,376/38,338,080
  6. Step 6: Final answer
    x = 181,403,536.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.