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Finding the Third Proportional to 17,217,864 and 25,734,780

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Solution

The third proportional to 17,217,864 and 25,734,780 is: 38,464,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,217,864 : 25,734,780 = 25,734,780 : x
  2. Step 2: Convert to fraction form
    17,217,864/25,734,780 = 25,734,780/x
  3. Step 3: Cross multiply
    17,217,864x = 25,734,780 × 25,734,780
  4. Step 4: Simplify right side
    17,217,864x = 662,278,901,648,400
  5. Step 5: Solve for x
    x = 662,278,901,648,400/17,217,864
  6. Step 6: Final answer
    x = 38,464,637.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.