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Finding the Third Proportional to 5,659,898.06 and 8,826,147.84

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Solution

The third proportional to 5,659,898.06 and 8,826,147.84 is: 13,763,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659,898.06 : 8,826,147.84 = 8,826,147.84 : x
  2. Step 2: Convert to fraction form
    5,659,898.06/8,826,147.84 = 8,826,147.84/x
  3. Step 3: Cross multiply
    5,659,898.06x = 8,826,147.84 × 8,826,147.84
  4. Step 4: Simplify right side
    5,659,898.06x = 77,900,885,759,732.78
  5. Step 5: Solve for x
    x = 77,900,885,759,732.78/5,659,898.06
  6. Step 6: Final answer
    x = 13,763,655.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.