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Finding the Third Proportional to 30,202,014 and 65,442,876

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Solution

The third proportional to 30,202,014 and 65,442,876 is: 141,804,120.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202,014 : 65,442,876 = 65,442,876 : x
  2. Step 2: Convert to fraction form
    30,202,014/65,442,876 = 65,442,876/x
  3. Step 3: Cross multiply
    30,202,014x = 65,442,876 × 65,442,876
  4. Step 4: Simplify right side
    30,202,014x = 4,282,770,019,151,376
  5. Step 5: Solve for x
    x = 4,282,770,019,151,376/30,202,014
  6. Step 6: Final answer
    x = 141,804,120.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.