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Finding the Third Proportional to 5,867,972 and 8,976,311

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Solution

The third proportional to 5,867,972 and 8,976,311 is: 13,731,176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867,972 : 8,976,311 = 8,976,311 : x
  2. Step 2: Convert to fraction form
    5,867,972/8,976,311 = 8,976,311/x
  3. Step 3: Cross multiply
    5,867,972x = 8,976,311 × 8,976,311
  4. Step 4: Simplify right side
    5,867,972x = 80,574,159,168,721
  5. Step 5: Solve for x
    x = 80,574,159,168,721/5,867,972
  6. Step 6: Final answer
    x = 13,731,176.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.