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Finding the Third Proportional to 25,187,149,395 and 55,119,027,366

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Solution

The third proportional to 25,187,149,395 and 55,119,027,366 is: 120,621,318,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,187,149,395 : 55,119,027,366 = 55,119,027,366 : x
  2. Step 2: Convert to fraction form
    25,187,149,395/55,119,027,366 = 55,119,027,366/x
  3. Step 3: Cross multiply
    25,187,149,395x = 55,119,027,366 × 55,119,027,366
  4. Step 4: Simplify right side
    25,187,149,395x = 3,038,107,177,773,856,980,992
  5. Step 5: Solve for x
    x = 3,038,107,177,773,856,980,992/25,187,149,395
  6. Step 6: Final answer
    x = 120,621,318,837.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.