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Finding the Third Proportional to 31,180,338 and 68,026,788

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Solution

The third proportional to 31,180,338 and 68,026,788 is: 148,415,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,180,338 : 68,026,788 = 68,026,788 : x
  2. Step 2: Convert to fraction form
    31,180,338/68,026,788 = 68,026,788/x
  3. Step 3: Cross multiply
    31,180,338x = 68,026,788 × 68,026,788
  4. Step 4: Simplify right side
    31,180,338x = 4,627,643,885,596,944
  5. Step 5: Solve for x
    x = 4,627,643,885,596,944/31,180,338
  6. Step 6: Final answer
    x = 148,415,449.68

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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.