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Finding the Third Proportional to 38,941,264 and 83,094,614.50

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Solution

The third proportional to 38,941,264 and 83,094,614.50 is: 177,311,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,941,264 : 83,094,614.50 = 83,094,614.50 : x
  2. Step 2: Convert to fraction form
    38,941,264/83,094,614.50 = 83,094,614.50/x
  3. Step 3: Cross multiply
    38,941,264x = 83,094,614.50 × 83,094,614.50
  4. Step 4: Simplify right side
    38,941,264x = 6,904,714,958,903,610
  5. Step 5: Solve for x
    x = 6,904,714,958,903,610/38,941,264
  6. Step 6: Final answer
    x = 177,311,012.78

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.