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Finding the Third Proportional to 30,291,571 and 65,202,086

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Solution

The third proportional to 30,291,571 and 65,202,086 is: 140,346,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291,571 : 65,202,086 = 65,202,086 : x
  2. Step 2: Convert to fraction form
    30,291,571/65,202,086 = 65,202,086/x
  3. Step 3: Cross multiply
    30,291,571x = 65,202,086 × 65,202,086
  4. Step 4: Simplify right side
    30,291,571x = 4,251,312,018,751,396
  5. Step 5: Solve for x
    x = 4,251,312,018,751,396/30,291,571
  6. Step 6: Final answer
    x = 140,346,369.58

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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.