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Finding the Third Proportional to 36,976,488 and 82,450,416

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Solution

The third proportional to 36,976,488 and 82,450,416 is: 183,848,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,976,488 : 82,450,416 = 82,450,416 : x
  2. Step 2: Convert to fraction form
    36,976,488/82,450,416 = 82,450,416/x
  3. Step 3: Cross multiply
    36,976,488x = 82,450,416 × 82,450,416
  4. Step 4: Simplify right side
    36,976,488x = 6,798,071,098,573,056
  5. Step 5: Solve for x
    x = 6,798,071,098,573,056/36,976,488
  6. Step 6: Final answer
    x = 183,848,479.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.