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Finding the Third Proportional to 31,180,339 and 68,026,790

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Solution

The third proportional to 31,180,339 and 68,026,790 is: 148,415,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,180,339 : 68,026,790 = 68,026,790 : x
  2. Step 2: Convert to fraction form
    31,180,339/68,026,790 = 68,026,790/x
  3. Step 3: Cross multiply
    31,180,339x = 68,026,790 × 68,026,790
  4. Step 4: Simplify right side
    31,180,339x = 4,627,644,157,704,100
  5. Step 5: Solve for x
    x = 4,627,644,157,704,100/31,180,339
  6. Step 6: Final answer
    x = 148,415,453.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.