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Finding the Third Proportional to 12,849,182 and 18,564,822

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Solution

The third proportional to 12,849,182 and 18,564,822 is: 26,822,922.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849,182 : 18,564,822 = 18,564,822 : x
  2. Step 2: Convert to fraction form
    12,849,182/18,564,822 = 18,564,822/x
  3. Step 3: Cross multiply
    12,849,182x = 18,564,822 × 18,564,822
  4. Step 4: Simplify right side
    12,849,182x = 344,652,615,891,684
  5. Step 5: Solve for x
    x = 344,652,615,891,684/12,849,182
  6. Step 6: Final answer
    x = 26,822,922.73

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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.