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Finding the Third Proportional to 5,659,906.13 and 8,826,160.13

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Solution

The third proportional to 5,659,906.13 and 8,826,160.13 is: 13,763,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659,906.13 : 8,826,160.13 = 8,826,160.13 : x
  2. Step 2: Convert to fraction form
    5,659,906.13/8,826,160.13 = 8,826,160.13/x
  3. Step 3: Cross multiply
    5,659,906.13x = 8,826,160.13 × 8,826,160.13
  4. Step 4: Simplify right side
    5,659,906.13x = 77,901,102,552,140.02
  5. Step 5: Solve for x
    x = 77,901,102,552,140.02/5,659,906.13
  6. Step 6: Final answer
    x = 13,763,673.96

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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.