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Finding the Third Proportional to 6,971,876 and 15,101,496

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Solution

The third proportional to 6,971,876 and 15,101,496 is: 32,710,734.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971,876 : 15,101,496 = 15,101,496 : x
  2. Step 2: Convert to fraction form
    6,971,876/15,101,496 = 15,101,496/x
  3. Step 3: Cross multiply
    6,971,876x = 15,101,496 × 15,101,496
  4. Step 4: Simplify right side
    6,971,876x = 228,055,181,438,016
  5. Step 5: Solve for x
    x = 228,055,181,438,016/6,971,876
  6. Step 6: Final answer
    x = 32,710,734.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.