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Finding the Third Proportional to 14,225,600 and 31,149,470

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Solution

The third proportional to 14,225,600 and 31,149,470 is: 68,207,279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,225,600 : 31,149,470 = 31,149,470 : x
  2. Step 2: Convert to fraction form
    14,225,600/31,149,470 = 31,149,470/x
  3. Step 3: Cross multiply
    14,225,600x = 31,149,470 × 31,149,470
  4. Step 4: Simplify right side
    14,225,600x = 970,289,481,280,900
  5. Step 5: Solve for x
    x = 970,289,481,280,900/14,225,600
  6. Step 6: Final answer
    x = 68,207,279.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.