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Finding the Third Proportional to 47,921,646 and 103,381,882

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Solution

The third proportional to 47,921,646 and 103,381,882 is: 223,026,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,921,646 : 103,381,882 = 103,381,882 : x
  2. Step 2: Convert to fraction form
    47,921,646/103,381,882 = 103,381,882/x
  3. Step 3: Cross multiply
    47,921,646x = 103,381,882 × 103,381,882
  4. Step 4: Simplify right side
    47,921,646x = 10,687,813,525,861,924
  5. Step 5: Solve for x
    x = 10,687,813,525,861,924/47,921,646
  6. Step 6: Final answer
    x = 223,026,845.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.