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Finding the Third Proportional to 47,921,220 and 68,527,863

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Solution

The third proportional to 47,921,220 and 68,527,863 is: 97,995,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,921,220 : 68,527,863 = 68,527,863 : x
  2. Step 2: Convert to fraction form
    47,921,220/68,527,863 = 68,527,863/x
  3. Step 3: Cross multiply
    47,921,220x = 68,527,863 × 68,527,863
  4. Step 4: Simplify right side
    47,921,220x = 4,696,068,007,346,769
  5. Step 5: Solve for x
    x = 4,696,068,007,346,769/47,921,220
  6. Step 6: Final answer
    x = 97,995,585.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.