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Finding the Third Proportional to 64,607,659 and 141,768,561

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Solution

The third proportional to 64,607,659 and 141,768,561 is: 311,082,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,607,659 : 141,768,561 = 141,768,561 : x
  2. Step 2: Convert to fraction form
    64,607,659/141,768,561 = 141,768,561/x
  3. Step 3: Cross multiply
    64,607,659x = 141,768,561 × 141,768,561
  4. Step 4: Simplify right side
    64,607,659x = 20,098,324,888,010,720
  5. Step 5: Solve for x
    x = 20,098,324,888,010,720/64,607,659
  6. Step 6: Final answer
    x = 311,082,698.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.