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Finding the Third Proportional to 30,291,750 and 65,202,444

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Solution

The third proportional to 30,291,750 and 65,202,444 is: 140,347,081.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291,750 : 65,202,444 = 65,202,444 : x
  2. Step 2: Convert to fraction form
    30,291,750/65,202,444 = 65,202,444/x
  3. Step 3: Cross multiply
    30,291,750x = 65,202,444 × 65,202,444
  4. Step 4: Simplify right side
    30,291,750x = 4,251,358,703,573,136
  5. Step 5: Solve for x
    x = 4,251,358,703,573,136/30,291,750
  6. Step 6: Final answer
    x = 140,347,081.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.