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Finding the Third Proportional to 37,009,160 and 80,196,496

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Solution

The third proportional to 37,009,160 and 80,196,496 is: 173,780,706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,009,160 : 80,196,496 = 80,196,496 : x
  2. Step 2: Convert to fraction form
    37,009,160/80,196,496 = 80,196,496/x
  3. Step 3: Cross multiply
    37,009,160x = 80,196,496 × 80,196,496
  4. Step 4: Simplify right side
    37,009,160x = 6,431,477,970,678,016
  5. Step 5: Solve for x
    x = 6,431,477,970,678,016/37,009,160
  6. Step 6: Final answer
    x = 173,780,706.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.