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Finding the Third Proportional to 7,002,718,821 and 15,123,532,876

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Solution

The third proportional to 7,002,718,821 and 15,123,532,876 is: 32,661,777,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002,718,821 : 15,123,532,876 = 15,123,532,876 : x
  2. Step 2: Convert to fraction form
    7,002,718,821/15,123,532,876 = 15,123,532,876/x
  3. Step 3: Cross multiply
    7,002,718,821x = 15,123,532,876 × 15,123,532,876
  4. Step 4: Simplify right side
    7,002,718,821x = 228,721,246,651,452,817,408
  5. Step 5: Solve for x
    x = 228,721,246,651,452,817,408/7,002,718,821
  6. Step 6: Final answer
    x = 32,661,777,874.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.