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Finding the Third Proportional to 14,668,470 and 31,861,233

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Solution

The third proportional to 14,668,470 and 31,861,233 is: 69,205,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668,470 : 31,861,233 = 31,861,233 : x
  2. Step 2: Convert to fraction form
    14,668,470/31,861,233 = 31,861,233/x
  3. Step 3: Cross multiply
    14,668,470x = 31,861,233 × 31,861,233
  4. Step 4: Simplify right side
    14,668,470x = 1,015,138,168,280,289
  5. Step 5: Solve for x
    x = 1,015,138,168,280,289/14,668,470
  6. Step 6: Final answer
    x = 69,205,456.89

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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.