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Finding the Third Proportional to 22,711,890 and 49,257,042

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Solution

The third proportional to 22,711,890 and 49,257,042 is: 106,827,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711,890 : 49,257,042 = 49,257,042 : x
  2. Step 2: Convert to fraction form
    22,711,890/49,257,042 = 49,257,042/x
  3. Step 3: Cross multiply
    22,711,890x = 49,257,042 × 49,257,042
  4. Step 4: Simplify right side
    22,711,890x = 2,426,256,186,589,764
  5. Step 5: Solve for x
    x = 2,426,256,186,589,764/22,711,890
  6. Step 6: Final answer
    x = 106,827,577.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.