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Finding the Third Proportional to 14,201,556.75 and 31,060,314

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Solution

The third proportional to 14,201,556.75 and 31,060,314 is: 67,932,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201,556.75 : 31,060,314 = 31,060,314 : x
  2. Step 2: Convert to fraction form
    14,201,556.75/31,060,314 = 31,060,314/x
  3. Step 3: Cross multiply
    14,201,556.75x = 31,060,314 × 31,060,314
  4. Step 4: Simplify right side
    14,201,556.75x = 964,743,105,778,596
  5. Step 5: Solve for x
    x = 964,743,105,778,596/14,201,556.75
  6. Step 6: Final answer
    x = 67,932,207.91

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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.