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Finding the Third Proportional to 5,117,777,778 and 7,862,899,930

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Solution

The third proportional to 5,117,777,778 and 7,862,899,930 is: 12,080,476,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117,777,778 : 7,862,899,930 = 7,862,899,930 : x
  2. Step 2: Convert to fraction form
    5,117,777,778/7,862,899,930 = 7,862,899,930/x
  3. Step 3: Cross multiply
    5,117,777,778x = 7,862,899,930 × 7,862,899,930
  4. Step 4: Simplify right side
    5,117,777,778x = 61,825,195,309,194,002,432
  5. Step 5: Solve for x
    x = 61,825,195,309,194,002,432/5,117,777,778
  6. Step 6: Final answer
    x = 12,080,476,720.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.