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Finding the Third Proportional to 38,948,897 and 84,361,097

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Solution

The third proportional to 38,948,897 and 84,361,097 is: 182,721,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,948,897 : 84,361,097 = 84,361,097 : x
  2. Step 2: Convert to fraction form
    38,948,897/84,361,097 = 84,361,097/x
  3. Step 3: Cross multiply
    38,948,897x = 84,361,097 × 84,361,097
  4. Step 4: Simplify right side
    38,948,897x = 7,116,794,687,043,409
  5. Step 5: Solve for x
    x = 7,116,794,687,043,409/38,948,897
  6. Step 6: Final answer
    x = 182,721,340.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.