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Finding the Third Proportional to 5,921,631.75 and 8,677,139.25

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Solution

The third proportional to 5,921,631.75 and 8,677,139.25 is: 12,714,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921,631.75 : 8,677,139.25 = 8,677,139.25 : x
  2. Step 2: Convert to fraction form
    5,921,631.75/8,677,139.25 = 8,677,139.25/x
  3. Step 3: Cross multiply
    5,921,631.75x = 8,677,139.25 × 8,677,139.25
  4. Step 4: Simplify right side
    5,921,631.75x = 75,292,745,563,890.56
  5. Step 5: Solve for x
    x = 75,292,745,563,890.56/5,921,631.75
  6. Step 6: Final answer
    x = 12,714,864.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.