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Finding the Third Proportional to 555,309,715,980 and 781,998,446,682

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Solution

The third proportional to 555,309,715,980 and 781,998,446,682 is: 1,101,226,132,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,309,715,980 : 781,998,446,682 = 781,998,446,682 : x
  2. Step 2: Convert to fraction form
    555,309,715,980/781,998,446,682 = 781,998,446,682/x
  3. Step 3: Cross multiply
    555,309,715,980x = 781,998,446,682 × 781,998,446,682
  4. Step 4: Simplify right side
    555,309,715,980x = 611,521,570,613,060,740,055,040
  5. Step 5: Solve for x
    x = 611,521,570,613,060,740,055,040/555,309,715,980
  6. Step 6: Final answer
    x = 1,101,226,132,040.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.