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Finding the Third Proportional to 5,432,022 and 8,148,681

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Solution

The third proportional to 5,432,022 and 8,148,681 is: 12,223,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432,022 : 8,148,681 = 8,148,681 : x
  2. Step 2: Convert to fraction form
    5,432,022/8,148,681 = 8,148,681/x
  3. Step 3: Cross multiply
    5,432,022x = 8,148,681 × 8,148,681
  4. Step 4: Simplify right side
    5,432,022x = 66,401,002,039,761
  5. Step 5: Solve for x
    x = 66,401,002,039,761/5,432,022
  6. Step 6: Final answer
    x = 12,223,993.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.