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Finding the Third Proportional to 2,543,700.80 and 5,456,661.40

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Solution

The third proportional to 2,543,700.80 and 5,456,661.40 is: 11,705,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543,700.80 : 5,456,661.40 = 5,456,661.40 : x
  2. Step 2: Convert to fraction form
    2,543,700.80/5,456,661.40 = 5,456,661.40/x
  3. Step 3: Cross multiply
    2,543,700.80x = 5,456,661.40 × 5,456,661.40
  4. Step 4: Simplify right side
    2,543,700.80x = 29,775,153,617,197.89
  5. Step 5: Solve for x
    x = 29,775,153,617,197.89/2,543,700.80
  6. Step 6: Final answer
    x = 11,705,446.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.