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Finding the Third Proportional to 6,899,787,344 and 15,008,488,821

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Solution

The third proportional to 6,899,787,344 and 15,008,488,821 is: 32,646,620,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899,787,344 : 15,008,488,821 = 15,008,488,821 : x
  2. Step 2: Convert to fraction form
    6,899,787,344/15,008,488,821 = 15,008,488,821/x
  3. Step 3: Cross multiply
    6,899,787,344x = 15,008,488,821 × 15,008,488,821
  4. Step 4: Simplify right side
    6,899,787,344x = 225,254,736,690,081,955,840
  5. Step 5: Solve for x
    x = 225,254,736,690,081,955,840/6,899,787,344
  6. Step 6: Final answer
    x = 32,646,620,172.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.