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Finding the Third Proportional to 10,264,574 and 15,891,939

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Solution

The third proportional to 10,264,574 and 15,891,939 is: 24,604,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264,574 : 15,891,939 = 15,891,939 : x
  2. Step 2: Convert to fraction form
    10,264,574/15,891,939 = 15,891,939/x
  3. Step 3: Cross multiply
    10,264,574x = 15,891,939 × 15,891,939
  4. Step 4: Simplify right side
    10,264,574x = 252,553,725,179,721
  5. Step 5: Solve for x
    x = 252,553,725,179,721/10,264,574
  6. Step 6: Final answer
    x = 24,604,403.96

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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.