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Finding the Third Proportional to 47,676,359 and 101,856,289

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Solution

The third proportional to 47,676,359 and 101,856,289 is: 217,606,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676,359 : 101,856,289 = 101,856,289 : x
  2. Step 2: Convert to fraction form
    47,676,359/101,856,289 = 101,856,289/x
  3. Step 3: Cross multiply
    47,676,359x = 101,856,289 × 101,856,289
  4. Step 4: Simplify right side
    47,676,359x = 10,374,703,608,851,520
  5. Step 5: Solve for x
    x = 10,374,703,608,851,520/47,676,359
  6. Step 6: Final answer
    x = 217,606,877.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.