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Finding the Third Proportional to 17,897,498 and 38,780,980

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Solution

The third proportional to 17,897,498 and 38,780,980 is: 84,032,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897,498 : 38,780,980 = 38,780,980 : x
  2. Step 2: Convert to fraction form
    17,897,498/38,780,980 = 38,780,980/x
  3. Step 3: Cross multiply
    17,897,498x = 38,780,980 × 38,780,980
  4. Step 4: Simplify right side
    17,897,498x = 1,503,964,409,760,400
  5. Step 5: Solve for x
    x = 1,503,964,409,760,400/17,897,498
  6. Step 6: Final answer
    x = 84,032,103.80

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