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Finding the Third Proportional to 72,382,186 and 157,770,740

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Solution

The third proportional to 72,382,186 and 157,770,740 is: 343,891,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,382,186 : 157,770,740 = 157,770,740 : x
  2. Step 2: Convert to fraction form
    72,382,186/157,770,740 = 157,770,740/x
  3. Step 3: Cross multiply
    72,382,186x = 157,770,740 × 157,770,740
  4. Step 4: Simplify right side
    72,382,186x = 24,891,606,400,147,600
  5. Step 5: Solve for x
    x = 24,891,606,400,147,600/72,382,186
  6. Step 6: Final answer
    x = 343,891,332.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.