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Finding the Third Proportional to 22,887,912 and 49,712,424

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Solution

The third proportional to 22,887,912 and 49,712,424 is: 107,975,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,887,912 : 49,712,424 = 49,712,424 : x
  2. Step 2: Convert to fraction form
    22,887,912/49,712,424 = 49,712,424/x
  3. Step 3: Cross multiply
    22,887,912x = 49,712,424 × 49,712,424
  4. Step 4: Simplify right side
    22,887,912x = 2,471,325,099,955,776
  5. Step 5: Solve for x
    x = 2,471,325,099,955,776/22,887,912
  6. Step 6: Final answer
    x = 107,975,122.41

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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.