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Finding the Third Proportional to 6,866,369 and 14,912,566

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Solution

The third proportional to 6,866,369 and 14,912,566 is: 32,387,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866,369 : 14,912,566 = 14,912,566 : x
  2. Step 2: Convert to fraction form
    6,866,369/14,912,566 = 14,912,566/x
  3. Step 3: Cross multiply
    6,866,369x = 14,912,566 × 14,912,566
  4. Step 4: Simplify right side
    6,866,369x = 222,384,624,704,356
  5. Step 5: Solve for x
    x = 222,384,624,704,356/6,866,369
  6. Step 6: Final answer
    x = 32,387,514.38

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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.