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Finding the Third Proportional to 31,875,084 and 47,845,266

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Solution

The third proportional to 31,875,084 and 47,845,266 is: 71,816,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,875,084 : 47,845,266 = 47,845,266 : x
  2. Step 2: Convert to fraction form
    31,875,084/47,845,266 = 47,845,266/x
  3. Step 3: Cross multiply
    31,875,084x = 47,845,266 × 47,845,266
  4. Step 4: Simplify right side
    31,875,084x = 2,289,169,478,610,756
  5. Step 5: Solve for x
    x = 2,289,169,478,610,756/31,875,084
  6. Step 6: Final answer
    x = 71,816,892.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.