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Finding the Third Proportional to 6,455,822 and 13,980,412

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Solution

The third proportional to 6,455,822 and 13,980,412 is: 30,275,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455,822 : 13,980,412 = 13,980,412 : x
  2. Step 2: Convert to fraction form
    6,455,822/13,980,412 = 13,980,412/x
  3. Step 3: Cross multiply
    6,455,822x = 13,980,412 × 13,980,412
  4. Step 4: Simplify right side
    6,455,822x = 195,451,919,689,744
  5. Step 5: Solve for x
    x = 195,451,919,689,744/6,455,822
  6. Step 6: Final answer
    x = 30,275,295.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.