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Finding the Third Proportional to 31,835,617 and 68,213,714

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Solution

The third proportional to 31,835,617 and 68,213,714 is: 146,160,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,835,617 : 68,213,714 = 68,213,714 : x
  2. Step 2: Convert to fraction form
    31,835,617/68,213,714 = 68,213,714/x
  3. Step 3: Cross multiply
    31,835,617x = 68,213,714 × 68,213,714
  4. Step 4: Simplify right side
    31,835,617x = 4,653,110,777,673,796
  5. Step 5: Solve for x
    x = 4,653,110,777,673,796/31,835,617
  6. Step 6: Final answer
    x = 146,160,533.90

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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.