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Finding the Third Proportional to 12,581,844,976 and 19,535,712,912

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Solution

The third proportional to 12,581,844,976 and 19,535,712,912 is: 30,332,918,559.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581,844,976 : 19,535,712,912 = 19,535,712,912 : x
  2. Step 2: Convert to fraction form
    12,581,844,976/19,535,712,912 = 19,535,712,912/x
  3. Step 3: Cross multiply
    12,581,844,976x = 19,535,712,912 × 19,535,712,912
  4. Step 4: Simplify right side
    12,581,844,976x = 381,644,078,980,083,548,160
  5. Step 5: Solve for x
    x = 381,644,078,980,083,548,160/12,581,844,976
  6. Step 6: Final answer
    x = 30,332,918,559.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.