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Finding the Third Proportional to 22,327,944 and 47,886,516

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Solution

The third proportional to 22,327,944 and 47,886,516 is: 102,701,727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,327,944 : 47,886,516 = 47,886,516 : x
  2. Step 2: Convert to fraction form
    22,327,944/47,886,516 = 47,886,516/x
  3. Step 3: Cross multiply
    22,327,944x = 47,886,516 × 47,886,516
  4. Step 4: Simplify right side
    22,327,944x = 2,293,118,414,618,256
  5. Step 5: Solve for x
    x = 2,293,118,414,618,256/22,327,944
  6. Step 6: Final answer
    x = 102,701,727.24

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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.