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Finding the Third Proportional to 6,947,902 and 15,309,360

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Solution

The third proportional to 6,947,902 and 15,309,360 is: 33,733,421.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947,902 : 15,309,360 = 15,309,360 : x
  2. Step 2: Convert to fraction form
    6,947,902/15,309,360 = 15,309,360/x
  3. Step 3: Cross multiply
    6,947,902x = 15,309,360 × 15,309,360
  4. Step 4: Simplify right side
    6,947,902x = 234,376,503,609,600
  5. Step 5: Solve for x
    x = 234,376,503,609,600/6,947,902
  6. Step 6: Final answer
    x = 33,733,421.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.