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Finding the Third Proportional to 47,676,360 and 101,856,291

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Solution

The third proportional to 47,676,360 and 101,856,291 is: 217,606,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,676,360 : 101,856,291 = 101,856,291 : x
  2. Step 2: Convert to fraction form
    47,676,360/101,856,291 = 101,856,291/x
  3. Step 3: Cross multiply
    47,676,360x = 101,856,291 × 101,856,291
  4. Step 4: Simplify right side
    47,676,360x = 10,374,704,016,276,680
  5. Step 5: Solve for x
    x = 10,374,704,016,276,680/47,676,360
  6. Step 6: Final answer
    x = 217,606,881.40

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Why These Related Problems?

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