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Finding the Third Proportional to 22,438,724 and 49,148,744

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Solution

The third proportional to 22,438,724 and 49,148,744 is: 107,653,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438,724 : 49,148,744 = 49,148,744 : x
  2. Step 2: Convert to fraction form
    22,438,724/49,148,744 = 49,148,744/x
  3. Step 3: Cross multiply
    22,438,724x = 49,148,744 × 49,148,744
  4. Step 4: Simplify right side
    22,438,724x = 2,415,599,036,777,536
  5. Step 5: Solve for x
    x = 2,415,599,036,777,536/22,438,724
  6. Step 6: Final answer
    x = 107,653,137.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.