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Finding the Third Proportional to 47,030,948 and 95,951,400

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Solution

The third proportional to 47,030,948 and 95,951,400 is: 195,757,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,030,948 : 95,951,400 = 95,951,400 : x
  2. Step 2: Convert to fraction form
    47,030,948/95,951,400 = 95,951,400/x
  3. Step 3: Cross multiply
    47,030,948x = 95,951,400 × 95,951,400
  4. Step 4: Simplify right side
    47,030,948x = 9,206,671,161,960,000
  5. Step 5: Solve for x
    x = 9,206,671,161,960,000/47,030,948
  6. Step 6: Final answer
    x = 195,757,720.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.