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Finding the Third Proportional to 38,941,263 and 83,094,612.75

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Solution

The third proportional to 38,941,263 and 83,094,612.75 is: 177,311,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,941,263 : 83,094,612.75 = 83,094,612.75 : x
  2. Step 2: Convert to fraction form
    38,941,263/83,094,612.75 = 83,094,612.75/x
  3. Step 3: Cross multiply
    38,941,263x = 83,094,612.75 × 83,094,612.75
  4. Step 4: Simplify right side
    38,941,263x = 6,904,714,668,072,463
  5. Step 5: Solve for x
    x = 6,904,714,668,072,463/38,941,263
  6. Step 6: Final answer
    x = 177,311,009.87

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Why These Related Problems?

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