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Finding the Third Proportional to 36,727,470 and 80,169,304

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Solution

The third proportional to 36,727,470 and 80,169,304 is: 174,994,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,727,470 : 80,169,304 = 80,169,304 : x
  2. Step 2: Convert to fraction form
    36,727,470/80,169,304 = 80,169,304/x
  3. Step 3: Cross multiply
    36,727,470x = 80,169,304 × 80,169,304
  4. Step 4: Simplify right side
    36,727,470x = 6,427,117,303,844,416
  5. Step 5: Solve for x
    x = 6,427,117,303,844,416/36,727,470
  6. Step 6: Final answer
    x = 174,994,828.23

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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.