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Finding the Third Proportional to 37,721,830 and 82,505,241

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Solution

The third proportional to 37,721,830 and 82,505,241 is: 180,455,582.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,721,830 : 82,505,241 = 82,505,241 : x
  2. Step 2: Convert to fraction form
    37,721,830/82,505,241 = 82,505,241/x
  3. Step 3: Cross multiply
    37,721,830x = 82,505,241 × 82,505,241
  4. Step 4: Simplify right side
    37,721,830x = 6,807,114,792,468,081
  5. Step 5: Solve for x
    x = 6,807,114,792,468,081/37,721,830
  6. Step 6: Final answer
    x = 180,455,582.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.