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Finding the Third Proportional to 6,746,560 and 14,805,698

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Solution

The third proportional to 6,746,560 and 14,805,698 is: 32,491,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,560 : 14,805,698 = 14,805,698 : x
  2. Step 2: Convert to fraction form
    6,746,560/14,805,698 = 14,805,698/x
  3. Step 3: Cross multiply
    6,746,560x = 14,805,698 × 14,805,698
  4. Step 4: Simplify right side
    6,746,560x = 219,208,693,267,204
  5. Step 5: Solve for x
    x = 219,208,693,267,204/6,746,560
  6. Step 6: Final answer
    x = 32,491,920.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.