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Finding the Third Proportional to 42,472,238.50 and 65,586,011

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Solution

The third proportional to 42,472,238.50 and 65,586,011 is: 101,278,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,472,238.50 : 65,586,011 = 65,586,011 : x
  2. Step 2: Convert to fraction form
    42,472,238.50/65,586,011 = 65,586,011/x
  3. Step 3: Cross multiply
    42,472,238.50x = 65,586,011 × 65,586,011
  4. Step 4: Simplify right side
    42,472,238.50x = 4,301,524,838,892,121
  5. Step 5: Solve for x
    x = 4,301,524,838,892,121/42,472,238.50
  6. Step 6: Final answer
    x = 101,278,505.46

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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.