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Finding the Third Proportional to 10,257,351,517 and 15,325,645,785

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Solution

The third proportional to 10,257,351,517 and 15,325,645,785 is: 22,898,251,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,351,517 : 15,325,645,785 = 15,325,645,785 : x
  2. Step 2: Convert to fraction form
    10,257,351,517/15,325,645,785 = 15,325,645,785/x
  3. Step 3: Cross multiply
    10,257,351,517x = 15,325,645,785 × 15,325,645,785
  4. Step 4: Simplify right side
    10,257,351,517x = 234,875,418,727,288,274,944
  5. Step 5: Solve for x
    x = 234,875,418,727,288,274,944/10,257,351,517
  6. Step 6: Final answer
    x = 22,898,251,886.76

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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.