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Finding the Third Proportional to 9,050,016 and 12,659,202

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Solution

The third proportional to 9,050,016 and 12,659,202 is: 17,707,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050,016 : 12,659,202 = 12,659,202 : x
  2. Step 2: Convert to fraction form
    9,050,016/12,659,202 = 12,659,202/x
  3. Step 3: Cross multiply
    9,050,016x = 12,659,202 × 12,659,202
  4. Step 4: Simplify right side
    9,050,016x = 160,255,395,276,804
  5. Step 5: Solve for x
    x = 160,255,395,276,804/9,050,016
  6. Step 6: Final answer
    x = 17,707,747.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.