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Finding the Third Proportional to 6,899,787,304 and 15,008,488,741

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Solution

The third proportional to 6,899,787,304 and 15,008,488,741 is: 32,646,620,013.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899,787,304 : 15,008,488,741 = 15,008,488,741 : x
  2. Step 2: Convert to fraction form
    6,899,787,304/15,008,488,741 = 15,008,488,741/x
  3. Step 3: Cross multiply
    6,899,787,304x = 15,008,488,741 × 15,008,488,741
  4. Step 4: Simplify right side
    6,899,787,304x = 225,254,734,288,723,771,392
  5. Step 5: Solve for x
    x = 225,254,734,288,723,771,392/6,899,787,304
  6. Step 6: Final answer
    x = 32,646,620,013.65

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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.