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Finding the Third Proportional to 6,164,726 and 13,306,797

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Solution

The third proportional to 6,164,726 and 13,306,797 is: 28,723,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164,726 : 13,306,797 = 13,306,797 : x
  2. Step 2: Convert to fraction form
    6,164,726/13,306,797 = 13,306,797/x
  3. Step 3: Cross multiply
    6,164,726x = 13,306,797 × 13,306,797
  4. Step 4: Simplify right side
    6,164,726x = 177,070,846,399,209
  5. Step 5: Solve for x
    x = 177,070,846,399,209/6,164,726
  6. Step 6: Final answer
    x = 28,723,230.59

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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.