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Finding the Third Proportional to 6,846,515.44 and 10,595,728.13

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Solution

The third proportional to 6,846,515.44 and 10,595,728.13 is: 16,398,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846,515.44 : 10,595,728.13 = 10,595,728.13 : x
  2. Step 2: Convert to fraction form
    6,846,515.44/10,595,728.13 = 10,595,728.13/x
  3. Step 3: Cross multiply
    6,846,515.44x = 10,595,728.13 × 10,595,728.13
  4. Step 4: Simplify right side
    6,846,515.44x = 112,269,454,498,916.02
  5. Step 5: Solve for x
    x = 112,269,454,498,916.02/6,846,515.44
  6. Step 6: Final answer
    x = 16,398,042.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.