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Finding the Third Proportional to 41,109,226,746 and 65,412,861,291

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Solution

The third proportional to 41,109,226,746 and 65,412,861,291 is: 104,084,721,629.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,109,226,746 : 65,412,861,291 = 65,412,861,291 : x
  2. Step 2: Convert to fraction form
    41,109,226,746/65,412,861,291 = 65,412,861,291/x
  3. Step 3: Cross multiply
    41,109,226,746x = 65,412,861,291 × 65,412,861,291
  4. Step 4: Simplify right side
    41,109,226,746x = 4,278,842,422,275,606,052,864
  5. Step 5: Solve for x
    x = 4,278,842,422,275,606,052,864/41,109,226,746
  6. Step 6: Final answer
    x = 104,084,721,629.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.