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Finding the Third Proportional to 31,904,960 and 70,189,696

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Solution

The third proportional to 31,904,960 and 70,189,696 is: 154,414,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,904,960 : 70,189,696 = 70,189,696 : x
  2. Step 2: Convert to fraction form
    31,904,960/70,189,696 = 70,189,696/x
  3. Step 3: Cross multiply
    31,904,960x = 70,189,696 × 70,189,696
  4. Step 4: Simplify right side
    31,904,960x = 4,926,593,424,572,416
  5. Step 5: Solve for x
    x = 4,926,593,424,572,416/31,904,960
  6. Step 6: Final answer
    x = 154,414,656.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.