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Finding the Third Proportional to 5,659,900.13 and 8,826,154.13

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Solution

The third proportional to 5,659,900.13 and 8,826,154.13 is: 13,763,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659,900.13 : 8,826,154.13 = 8,826,154.13 : x
  2. Step 2: Convert to fraction form
    5,659,900.13/8,826,154.13 = 8,826,154.13/x
  3. Step 3: Cross multiply
    5,659,900.13x = 8,826,154.13 × 8,826,154.13
  4. Step 4: Simplify right side
    5,659,900.13x = 77,900,996,638,254.52
  5. Step 5: Solve for x
    x = 77,900,996,638,254.52/5,659,900.13
  6. Step 6: Final answer
    x = 13,763,669.84

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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.