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Finding the Third Proportional to 31,835,830 and 68,214,141

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Solution

The third proportional to 31,835,830 and 68,214,141 is: 146,161,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,835,830 : 68,214,141 = 68,214,141 : x
  2. Step 2: Convert to fraction form
    31,835,830/68,214,141 = 68,214,141/x
  3. Step 3: Cross multiply
    31,835,830x = 68,214,141 × 68,214,141
  4. Step 4: Simplify right side
    31,835,830x = 4,653,169,032,367,881
  5. Step 5: Solve for x
    x = 4,653,169,032,367,881/31,835,830
  6. Step 6: Final answer
    x = 146,161,385.85

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