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Finding the Third Proportional to 37,037,577 and 81,246,642

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Solution

The third proportional to 37,037,577 and 81,246,642 is: 178,224,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,037,577 : 81,246,642 = 81,246,642 : x
  2. Step 2: Convert to fraction form
    37,037,577/81,246,642 = 81,246,642/x
  3. Step 3: Cross multiply
    37,037,577x = 81,246,642 × 81,246,642
  4. Step 4: Simplify right side
    37,037,577x = 6,601,016,836,276,164
  5. Step 5: Solve for x
    x = 6,601,016,836,276,164/37,037,577
  6. Step 6: Final answer
    x = 178,224,856.24

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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.