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Finding the Third Proportional to 9,609,850 and 12,943,815

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Solution

The third proportional to 9,609,850 and 12,943,815 is: 17,434,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609,850 : 12,943,815 = 12,943,815 : x
  2. Step 2: Convert to fraction form
    9,609,850/12,943,815 = 12,943,815/x
  3. Step 3: Cross multiply
    9,609,850x = 12,943,815 × 12,943,815
  4. Step 4: Simplify right side
    9,609,850x = 167,542,346,754,225
  5. Step 5: Solve for x
    x = 167,542,346,754,225/9,609,850
  6. Step 6: Final answer
    x = 17,434,439.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.