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Finding the Third Proportional to 6,619,034 and 14,283,727

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Solution

The third proportional to 6,619,034 and 14,283,727 is: 30,823,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,619,034 : 14,283,727 = 14,283,727 : x
  2. Step 2: Convert to fraction form
    6,619,034/14,283,727 = 14,283,727/x
  3. Step 3: Cross multiply
    6,619,034x = 14,283,727 × 14,283,727
  4. Step 4: Simplify right side
    6,619,034x = 204,024,857,010,529
  5. Step 5: Solve for x
    x = 204,024,857,010,529/6,619,034
  6. Step 6: Final answer
    x = 30,823,962.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.