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Finding the Third Proportional to 47,676,357 and 101,856,285

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Solution

The third proportional to 47,676,357 and 101,856,285 is: 217,606,869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676,357 : 101,856,285 = 101,856,285 : x
  2. Step 2: Convert to fraction form
    47,676,357/101,856,285 = 101,856,285/x
  3. Step 3: Cross multiply
    47,676,357x = 101,856,285 × 101,856,285
  4. Step 4: Simplify right side
    47,676,357x = 10,374,702,794,001,224
  5. Step 5: Solve for x
    x = 10,374,702,794,001,224/47,676,357
  6. Step 6: Final answer
    x = 217,606,869.46

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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.