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Finding the Third Proportional to 4,057,458.75 and 6,073,471.13

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Solution

The third proportional to 4,057,458.75 and 6,073,471.13 is: 9,091,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057,458.75 : 6,073,471.13 = 6,073,471.13 : x
  2. Step 2: Convert to fraction form
    4,057,458.75/6,073,471.13 = 6,073,471.13/x
  3. Step 3: Cross multiply
    4,057,458.75x = 6,073,471.13 × 6,073,471.13
  4. Step 4: Simplify right side
    4,057,458.75x = 36,887,051,506,208.77
  5. Step 5: Solve for x
    x = 36,887,051,506,208.77/4,057,458.75
  6. Step 6: Final answer
    x = 9,091,171.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.