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Finding the Third Proportional to 8,271,732 and 11,913,822

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Solution

The third proportional to 8,271,732 and 11,913,822 is: 17,159,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271,732 : 11,913,822 = 11,913,822 : x
  2. Step 2: Convert to fraction form
    8,271,732/11,913,822 = 11,913,822/x
  3. Step 3: Cross multiply
    8,271,732x = 11,913,822 × 11,913,822
  4. Step 4: Simplify right side
    8,271,732x = 141,939,154,647,684
  5. Step 5: Solve for x
    x = 141,939,154,647,684/8,271,732
  6. Step 6: Final answer
    x = 17,159,544.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.