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Finding the Third Proportional to 23,142,295 and 49,767,374

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Solution

The third proportional to 23,142,295 and 49,767,374 is: 107,024,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142,295 : 49,767,374 = 49,767,374 : x
  2. Step 2: Convert to fraction form
    23,142,295/49,767,374 = 49,767,374/x
  3. Step 3: Cross multiply
    23,142,295x = 49,767,374 × 49,767,374
  4. Step 4: Simplify right side
    23,142,295x = 2,476,791,514,855,876
  5. Step 5: Solve for x
    x = 2,476,791,514,855,876/23,142,295
  6. Step 6: Final answer
    x = 107,024,455.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.