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Finding the Third Proportional to 64,099,625 and 130,464,571

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Solution

The third proportional to 64,099,625 and 130,464,571 is: 265,539,841.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,099,625 : 130,464,571 = 130,464,571 : x
  2. Step 2: Convert to fraction form
    64,099,625/130,464,571 = 130,464,571/x
  3. Step 3: Cross multiply
    64,099,625x = 130,464,571 × 130,464,571
  4. Step 4: Simplify right side
    64,099,625x = 17,021,004,286,214,040
  5. Step 5: Solve for x
    x = 17,021,004,286,214,040/64,099,625
  6. Step 6: Final answer
    x = 265,539,841.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.