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Finding the Third Proportional to 12,581,844,944 and 19,535,712,860

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Solution

The third proportional to 12,581,844,944 and 19,535,712,860 is: 30,332,918,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,581,844,944 : 19,535,712,860 = 19,535,712,860 : x
  2. Step 2: Convert to fraction form
    12,581,844,944/19,535,712,860 = 19,535,712,860/x
  3. Step 3: Cross multiply
    12,581,844,944x = 19,535,712,860 × 19,535,712,860
  4. Step 4: Simplify right side
    12,581,844,944x = 381,644,076,948,369,375,232
  5. Step 5: Solve for x
    x = 381,644,076,948,369,375,232/12,581,844,944
  6. Step 6: Final answer
    x = 30,332,918,474.76

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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.