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Finding the Third Proportional to 42,472,236.75 and 65,586,008.75

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Solution

The third proportional to 42,472,236.75 and 65,586,008.75 is: 101,278,502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,472,236.75 : 65,586,008.75 = 65,586,008.75 : x
  2. Step 2: Convert to fraction form
    42,472,236.75/65,586,008.75 = 65,586,008.75/x
  3. Step 3: Cross multiply
    42,472,236.75x = 65,586,008.75 × 65,586,008.75
  4. Step 4: Simplify right side
    42,472,236.75x = 4,301,524,543,755,076.50
  5. Step 5: Solve for x
    x = 4,301,524,543,755,076.50/42,472,236.75
  6. Step 6: Final answer
    x = 101,278,502.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.