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Finding the Third Proportional to 6,722,720 and 14,390,464

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Solution

The third proportional to 6,722,720 and 14,390,464 is: 30,803,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722,720 : 14,390,464 = 14,390,464 : x
  2. Step 2: Convert to fraction form
    6,722,720/14,390,464 = 14,390,464/x
  3. Step 3: Cross multiply
    6,722,720x = 14,390,464 × 14,390,464
  4. Step 4: Simplify right side
    6,722,720x = 207,085,454,135,296
  5. Step 5: Solve for x
    x = 207,085,454,135,296/6,722,720
  6. Step 6: Final answer
    x = 30,803,819.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.