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Finding the Third Proportional to 38,788,339 and 84,386,749

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Solution

The third proportional to 38,788,339 and 84,386,749 is: 183,589,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,788,339 : 84,386,749 = 84,386,749 : x
  2. Step 2: Convert to fraction form
    38,788,339/84,386,749 = 84,386,749/x
  3. Step 3: Cross multiply
    38,788,339x = 84,386,749 × 84,386,749
  4. Step 4: Simplify right side
    38,788,339x = 7,121,123,406,789,001
  5. Step 5: Solve for x
    x = 7,121,123,406,789,001/38,788,339
  6. Step 6: Final answer
    x = 183,589,284.57

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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.