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Finding the Third Proportional to 65,975,065 and 136,475,761

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Solution

The third proportional to 65,975,065 and 136,475,761 is: 282,313,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,975,065 : 136,475,761 = 136,475,761 : x
  2. Step 2: Convert to fraction form
    65,975,065/136,475,761 = 136,475,761/x
  3. Step 3: Cross multiply
    65,975,065x = 136,475,761 × 136,475,761
  4. Step 4: Simplify right side
    65,975,065x = 18,625,633,340,529,120
  5. Step 5: Solve for x
    x = 18,625,633,340,529,120/65,975,065
  6. Step 6: Final answer
    x = 282,313,224.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.