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Finding the Third Proportional to 2,368,549,742 and 5,132,491,372

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Solution

The third proportional to 2,368,549,742 and 5,132,491,372 is: 11,121,770,937.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368,549,742 : 5,132,491,372 = 5,132,491,372 : x
  2. Step 2: Convert to fraction form
    2,368,549,742/5,132,491,372 = 5,132,491,372/x
  3. Step 3: Cross multiply
    2,368,549,742x = 5,132,491,372 × 5,132,491,372
  4. Step 4: Simplify right side
    2,368,549,742x = 26,342,467,683,654,443,008
  5. Step 5: Solve for x
    x = 26,342,467,683,654,443,008/2,368,549,742
  6. Step 6: Final answer
    x = 11,121,770,937.10

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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.