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Finding the Third Proportional to 36,730,160 and 80,073,816

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Solution

The third proportional to 36,730,160 and 80,073,816 is: 174,565,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,730,160 : 80,073,816 = 80,073,816 : x
  2. Step 2: Convert to fraction form
    36,730,160/80,073,816 = 80,073,816/x
  3. Step 3: Cross multiply
    36,730,160x = 80,073,816 × 80,073,816
  4. Step 4: Simplify right side
    36,730,160x = 6,411,816,008,801,856
  5. Step 5: Solve for x
    x = 6,411,816,008,801,856/36,730,160
  6. Step 6: Final answer
    x = 174,565,425.49

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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.