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Finding the Third Proportional to 5,715,669 and 12,328,764

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Solution

The third proportional to 5,715,669 and 12,328,764 is: 26,593,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715,669 : 12,328,764 = 12,328,764 : x
  2. Step 2: Convert to fraction form
    5,715,669/12,328,764 = 12,328,764/x
  3. Step 3: Cross multiply
    5,715,669x = 12,328,764 × 12,328,764
  4. Step 4: Simplify right side
    5,715,669x = 151,998,421,767,696
  5. Step 5: Solve for x
    x = 151,998,421,767,696/5,715,669
  6. Step 6: Final answer
    x = 26,593,286.24

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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.