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Finding the Third Proportional to 4,568,468.25 and 10,158,154.13

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Solution

The third proportional to 4,568,468.25 and 10,158,154.13 is: 22,587,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568,468.25 : 10,158,154.13 = 10,158,154.13 : x
  2. Step 2: Convert to fraction form
    4,568,468.25/10,158,154.13 = 10,158,154.13/x
  3. Step 3: Cross multiply
    4,568,468.25x = 10,158,154.13 × 10,158,154.13
  4. Step 4: Simplify right side
    4,568,468.25x = 103,188,095,227,254.52
  5. Step 5: Solve for x
    x = 103,188,095,227,254.52/4,568,468.25
  6. Step 6: Final answer
    x = 22,587,022.52

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.