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Finding the Third Proportional to 10,039,734 and 15,513,081

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Solution

The third proportional to 10,039,734 and 15,513,081 is: 23,970,324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,039,734 : 15,513,081 = 15,513,081 : x
  2. Step 2: Convert to fraction form
    10,039,734/15,513,081 = 15,513,081/x
  3. Step 3: Cross multiply
    10,039,734x = 15,513,081 × 15,513,081
  4. Step 4: Simplify right side
    10,039,734x = 240,655,682,112,561
  5. Step 5: Solve for x
    x = 240,655,682,112,561/10,039,734
  6. Step 6: Final answer
    x = 23,970,324.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.