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Finding the Third Proportional to 65,606,976 and 104,269,680

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Solution

The third proportional to 65,606,976 and 104,269,680 is: 165,716,617.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,606,976 : 104,269,680 = 104,269,680 : x
  2. Step 2: Convert to fraction form
    65,606,976/104,269,680 = 104,269,680/x
  3. Step 3: Cross multiply
    65,606,976x = 104,269,680 × 104,269,680
  4. Step 4: Simplify right side
    65,606,976x = 10,872,166,167,302,400
  5. Step 5: Solve for x
    x = 10,872,166,167,302,400/65,606,976
  6. Step 6: Final answer
    x = 165,716,617.81

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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.