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Finding the Third Proportional to 69,416,019 and 101,568,770

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Solution

The third proportional to 69,416,019 and 101,568,770 is: 148,614,328.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,416,019 : 101,568,770 = 101,568,770 : x
  2. Step 2: Convert to fraction form
    69,416,019/101,568,770 = 101,568,770/x
  3. Step 3: Cross multiply
    69,416,019x = 101,568,770 × 101,568,770
  4. Step 4: Simplify right side
    69,416,019x = 10,316,215,039,312,900
  5. Step 5: Solve for x
    x = 10,316,215,039,312,900/69,416,019
  6. Step 6: Final answer
    x = 148,614,328.33

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