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Finding the Third Proportional to 30,291,720 and 65,202,384

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Solution

The third proportional to 30,291,720 and 65,202,384 is: 140,346,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291,720 : 65,202,384 = 65,202,384 : x
  2. Step 2: Convert to fraction form
    30,291,720/65,202,384 = 65,202,384/x
  3. Step 3: Cross multiply
    30,291,720x = 65,202,384 × 65,202,384
  4. Step 4: Simplify right side
    30,291,720x = 4,251,350,879,283,456
  5. Step 5: Solve for x
    x = 4,251,350,879,283,456/30,291,720
  6. Step 6: Final answer
    x = 140,346,962.12

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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.