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Finding the Third Proportional to 31,832,886 and 68,203,780

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Solution

The third proportional to 31,832,886 and 68,203,780 is: 146,130,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832,886 : 68,203,780 = 68,203,780 : x
  2. Step 2: Convert to fraction form
    31,832,886/68,203,780 = 68,203,780/x
  3. Step 3: Cross multiply
    31,832,886x = 68,203,780 × 68,203,780
  4. Step 4: Simplify right side
    31,832,886x = 4,651,755,606,288,400
  5. Step 5: Solve for x
    x = 4,651,755,606,288,400/31,832,886
  6. Step 6: Final answer
    x = 146,130,501.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.