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Finding the Third Proportional to 42,472,238.63 and 65,586,007.13

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Solution

The third proportional to 42,472,238.63 and 65,586,007.13 is: 101,278,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,472,238.63 : 65,586,007.13 = 65,586,007.13 : x
  2. Step 2: Convert to fraction form
    42,472,238.63/65,586,007.13 = 65,586,007.13/x
  3. Step 3: Cross multiply
    42,472,238.63x = 65,586,007.13 × 65,586,007.13
  4. Step 4: Simplify right side
    42,472,238.63x = 4,301,524,330,600,551
  5. Step 5: Solve for x
    x = 4,301,524,330,600,551/42,472,238.63
  6. Step 6: Final answer
    x = 101,278,493.20

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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.