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Finding the Third Proportional to 55,264,002,387 and 84,892,267,419

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Solution

The third proportional to 55,264,002,387 and 84,892,267,419 is: 130,404,906,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,264,002,387 : 84,892,267,419 = 84,892,267,419 : x
  2. Step 2: Convert to fraction form
    55,264,002,387/84,892,267,419 = 84,892,267,419/x
  3. Step 3: Cross multiply
    55,264,002,387x = 84,892,267,419 × 84,892,267,419
  4. Step 4: Simplify right side
    55,264,002,387x = 7,206,697,067,539,009,110,016
  5. Step 5: Solve for x
    x = 7,206,697,067,539,009,110,016/55,264,002,387
  6. Step 6: Final answer
    x = 130,404,906,562.36

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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.