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Finding the Third Proportional to 13,946,865 and 32,568,215.06

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Solution

The third proportional to 13,946,865 and 32,568,215.06 is: 76,052,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946,865 : 32,568,215.06 = 32,568,215.06 : x
  2. Step 2: Convert to fraction form
    13,946,865/32,568,215.06 = 32,568,215.06/x
  3. Step 3: Cross multiply
    13,946,865x = 32,568,215.06 × 32,568,215.06
  4. Step 4: Simplify right side
    13,946,865x = 1,060,688,632,357,251.88
  5. Step 5: Solve for x
    x = 1,060,688,632,357,251.88/13,946,865
  6. Step 6: Final answer
    x = 76,052,118.69

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.