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Finding the Third Proportional to 30,291,570 and 65,202,084

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Solution

The third proportional to 30,291,570 and 65,202,084 is: 140,346,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291,570 : 65,202,084 = 65,202,084 : x
  2. Step 2: Convert to fraction form
    30,291,570/65,202,084 = 65,202,084/x
  3. Step 3: Cross multiply
    30,291,570x = 65,202,084 × 65,202,084
  4. Step 4: Simplify right side
    30,291,570x = 4,251,311,757,943,056
  5. Step 5: Solve for x
    x = 4,251,311,757,943,056/30,291,570
  6. Step 6: Final answer
    x = 140,346,365.60

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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.