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Finding the Third Proportional to 61,376,616 and 131,263,575

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Solution

The third proportional to 61,376,616 and 131,263,575 is: 280,727,860.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,376,616 : 131,263,575 = 131,263,575 : x
  2. Step 2: Convert to fraction form
    61,376,616/131,263,575 = 131,263,575/x
  3. Step 3: Cross multiply
    61,376,616x = 131,263,575 × 131,263,575
  4. Step 4: Simplify right side
    61,376,616x = 17,230,126,121,780,624
  5. Step 5: Solve for x
    x = 17,230,126,121,780,624/61,376,616
  6. Step 6: Final answer
    x = 280,727,860.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.