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Finding the Third Proportional to 77,486,024,554 and 110,805,147,067

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Solution

The third proportional to 77,486,024,554 and 110,805,147,067 is: 158,451,549,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,486,024,554 : 110,805,147,067 = 110,805,147,067 : x
  2. Step 2: Convert to fraction form
    77,486,024,554/110,805,147,067 = 110,805,147,067/x
  3. Step 3: Cross multiply
    77,486,024,554x = 110,805,147,067 × 110,805,147,067
  4. Step 4: Simplify right side
    77,486,024,554x = 12,277,780,616,539,499,659,264
  5. Step 5: Solve for x
    x = 12,277,780,616,539,499,659,264/77,486,024,554
  6. Step 6: Final answer
    x = 158,451,549,001.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.