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Finding the Third Proportional to 4,741,434.56 and 7,059,663.84

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Solution

The third proportional to 4,741,434.56 and 7,059,663.84 is: 10,511,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741,434.56 : 7,059,663.84 = 7,059,663.84 : x
  2. Step 2: Convert to fraction form
    4,741,434.56/7,059,663.84 = 7,059,663.84/x
  3. Step 3: Cross multiply
    4,741,434.56x = 7,059,663.84 × 7,059,663.84
  4. Step 4: Simplify right side
    4,741,434.56x = 49,838,853,586,751.02
  5. Step 5: Solve for x
    x = 49,838,853,586,751.02/4,741,434.56
  6. Step 6: Final answer
    x = 10,511,344.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.