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Finding the Third Proportional to 24,276,206.25 and 52,015,078.13

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Solution

The third proportional to 24,276,206.25 and 52,015,078.13 is: 111,449,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276,206.25 : 52,015,078.13 = 52,015,078.13 : x
  2. Step 2: Convert to fraction form
    24,276,206.25/52,015,078.13 = 52,015,078.13/x
  3. Step 3: Cross multiply
    24,276,206.25x = 52,015,078.13 × 52,015,078.13
  4. Step 4: Simplify right side
    24,276,206.25x = 2,705,568,352,349,853.50
  5. Step 5: Solve for x
    x = 2,705,568,352,349,853.50/24,276,206.25
  6. Step 6: Final answer
    x = 111,449,388.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.