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Finding the Third Proportional to 31,835,650 and 68,213,780

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Solution

The third proportional to 31,835,650 and 68,213,780 is: 146,160,665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,835,650 : 68,213,780 = 68,213,780 : x
  2. Step 2: Convert to fraction form
    31,835,650/68,213,780 = 68,213,780/x
  3. Step 3: Cross multiply
    31,835,650x = 68,213,780 × 68,213,780
  4. Step 4: Simplify right side
    31,835,650x = 4,653,119,781,888,400
  5. Step 5: Solve for x
    x = 4,653,119,781,888,400/31,835,650
  6. Step 6: Final answer
    x = 146,160,665.23

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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.