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Finding the Third Proportional to 31,384,573.50 and 67,578,360

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Solution

The third proportional to 31,384,573.50 and 67,578,360 is: 145,512,085.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384,573.50 : 67,578,360 = 67,578,360 : x
  2. Step 2: Convert to fraction form
    31,384,573.50/67,578,360 = 67,578,360/x
  3. Step 3: Cross multiply
    31,384,573.50x = 67,578,360 × 67,578,360
  4. Step 4: Simplify right side
    31,384,573.50x = 4,566,834,740,289,600
  5. Step 5: Solve for x
    x = 4,566,834,740,289,600/31,384,573.50
  6. Step 6: Final answer
    x = 145,512,085.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.