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Finding the Third Proportional to 38,829,656 and 84,259,600

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Solution

The third proportional to 38,829,656 and 84,259,600 is: 182,841,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,829,656 : 84,259,600 = 84,259,600 : x
  2. Step 2: Convert to fraction form
    38,829,656/84,259,600 = 84,259,600/x
  3. Step 3: Cross multiply
    38,829,656x = 84,259,600 × 84,259,600
  4. Step 4: Simplify right side
    38,829,656x = 7,099,680,192,160,000
  5. Step 5: Solve for x
    x = 7,099,680,192,160,000/38,829,656
  6. Step 6: Final answer
    x = 182,841,696.88

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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.