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Finding the Third Proportional to 31,835,828.25 and 68,214,136.50

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Solution

The third proportional to 31,835,828.25 and 68,214,136.50 is: 146,161,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,835,828.25 : 68,214,136.50 = 68,214,136.50 : x
  2. Step 2: Convert to fraction form
    31,835,828.25/68,214,136.50 = 68,214,136.50/x
  3. Step 3: Cross multiply
    31,835,828.25x = 68,214,136.50 × 68,214,136.50
  4. Step 4: Simplify right side
    31,835,828.25x = 4,653,168,418,440,632
  5. Step 5: Solve for x
    x = 4,653,168,418,440,632/31,835,828.25
  6. Step 6: Final answer
    x = 146,161,374.60

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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.