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Finding the Third Proportional to 23,279,931 and 35,241,963.75

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Solution

The third proportional to 23,279,931 and 35,241,963.75 is: 53,350,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,279,931 : 35,241,963.75 = 35,241,963.75 : x
  2. Step 2: Convert to fraction form
    23,279,931/35,241,963.75 = 35,241,963.75/x
  3. Step 3: Cross multiply
    23,279,931x = 35,241,963.75 × 35,241,963.75
  4. Step 4: Simplify right side
    23,279,931x = 1,241,996,008,956,314
  5. Step 5: Solve for x
    x = 1,241,996,008,956,314/23,279,931
  6. Step 6: Final answer
    x = 53,350,502.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.