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Finding the Third Proportional to 3,246,080.38 and 5,065,643.02

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Solution

The third proportional to 3,246,080.38 and 5,065,643.02 is: 7,905,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246,080.38 : 5,065,643.02 = 5,065,643.02 : x
  2. Step 2: Convert to fraction form
    3,246,080.38/5,065,643.02 = 5,065,643.02/x
  3. Step 3: Cross multiply
    3,246,080.38x = 5,065,643.02 × 5,065,643.02
  4. Step 4: Simplify right side
    3,246,080.38x = 25,660,739,221,114.61
  5. Step 5: Solve for x
    x = 25,660,739,221,114.61/3,246,080.38
  6. Step 6: Final answer
    x = 7,905,145.97

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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.