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Finding the Third Proportional to 12,195,674 and 16,722,970

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Solution

The third proportional to 12,195,674 and 16,722,970 is: 22,930,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195,674 : 16,722,970 = 16,722,970 : x
  2. Step 2: Convert to fraction form
    12,195,674/16,722,970 = 16,722,970/x
  3. Step 3: Cross multiply
    12,195,674x = 16,722,970 × 16,722,970
  4. Step 4: Simplify right side
    12,195,674x = 279,657,725,620,900
  5. Step 5: Solve for x
    x = 279,657,725,620,900/12,195,674
  6. Step 6: Final answer
    x = 22,930,895.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.