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Finding the Third Proportional to 4,074,643.50 and 5,514,077.25

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Solution

The third proportional to 4,074,643.50 and 5,514,077.25 is: 7,462,014.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074,643.50 : 5,514,077.25 = 5,514,077.25 : x
  2. Step 2: Convert to fraction form
    4,074,643.50/5,514,077.25 = 5,514,077.25/x
  3. Step 3: Cross multiply
    4,074,643.50x = 5,514,077.25 × 5,514,077.25
  4. Step 4: Simplify right side
    4,074,643.50x = 30,405,047,918,967.56
  5. Step 5: Solve for x
    x = 30,405,047,918,967.56/4,074,643.50
  6. Step 6: Final answer
    x = 7,462,014.26

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.