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Finding the Third Proportional to 9,725,631 and 22,513,081

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Solution

The third proportional to 9,725,631 and 22,513,081 is: 52,113,720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725,631 : 22,513,081 = 22,513,081 : x
  2. Step 2: Convert to fraction form
    9,725,631/22,513,081 = 22,513,081/x
  3. Step 3: Cross multiply
    9,725,631x = 22,513,081 × 22,513,081
  4. Step 4: Simplify right side
    9,725,631x = 506,838,816,112,561
  5. Step 5: Solve for x
    x = 506,838,816,112,561/9,725,631
  6. Step 6: Final answer
    x = 52,113,720.55

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.