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Finding the Third Proportional to 69,416,017 and 101,568,767

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Solution

The third proportional to 69,416,017 and 101,568,767 is: 148,614,323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,416,017 : 101,568,767 = 101,568,767 : x
  2. Step 2: Convert to fraction form
    69,416,017/101,568,767 = 101,568,767/x
  3. Step 3: Cross multiply
    69,416,017x = 101,568,767 × 101,568,767
  4. Step 4: Simplify right side
    69,416,017x = 10,316,214,429,900,288
  5. Step 5: Solve for x
    x = 10,316,214,429,900,288/69,416,017
  6. Step 6: Final answer
    x = 148,614,323.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.