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Finding the Third Proportional to 31,319,094 and 66,398,292

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Solution

The third proportional to 31,319,094 and 66,398,292 is: 140,768,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,319,094 : 66,398,292 = 66,398,292 : x
  2. Step 2: Convert to fraction form
    31,319,094/66,398,292 = 66,398,292/x
  3. Step 3: Cross multiply
    31,319,094x = 66,398,292 × 66,398,292
  4. Step 4: Simplify right side
    31,319,094x = 4,408,733,180,517,264
  5. Step 5: Solve for x
    x = 4,408,733,180,517,264/31,319,094
  6. Step 6: Final answer
    x = 140,768,222.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.