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Finding the Third Proportional to 31,373,412.75 and 67,956,678

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Solution

The third proportional to 31,373,412.75 and 67,956,678 is: 147,198,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,373,412.75 : 67,956,678 = 67,956,678 : x
  2. Step 2: Convert to fraction form
    31,373,412.75/67,956,678 = 67,956,678/x
  3. Step 3: Cross multiply
    31,373,412.75x = 67,956,678 × 67,956,678
  4. Step 4: Simplify right side
    31,373,412.75x = 4,618,110,084,795,684
  5. Step 5: Solve for x
    x = 4,618,110,084,795,684/31,373,412.75
  6. Step 6: Final answer
    x = 147,198,206.38

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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.