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Finding the Third Proportional to 6,103,882.83 and 8,408,382.82

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Solution

The third proportional to 6,103,882.83 and 8,408,382.82 is: 11,582,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103,882.83 : 8,408,382.82 = 8,408,382.82 : x
  2. Step 2: Convert to fraction form
    6,103,882.83/8,408,382.82 = 8,408,382.82/x
  3. Step 3: Cross multiply
    6,103,882.83x = 8,408,382.82 × 8,408,382.82
  4. Step 4: Simplify right side
    6,103,882.83x = 70,700,901,652,931.44
  5. Step 5: Solve for x
    x = 70,700,901,652,931.44/6,103,882.83
  6. Step 6: Final answer
    x = 11,582,938.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.