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Finding the Third Proportional to 678,300,787.31 and 1,469,287,822.69

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Solution

The third proportional to 678,300,787.31 and 1,469,287,822.69 is: 3,182,668,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,300,787.31 : 1,469,287,822.69 = 1,469,287,822.69 : x
  2. Step 2: Convert to fraction form
    678,300,787.31/1,469,287,822.69 = 1,469,287,822.69/x
  3. Step 3: Cross multiply
    678,300,787.31x = 1,469,287,822.69 × 1,469,287,822.69
  4. Step 4: Simplify right side
    678,300,787.31x = 2,158,806,705,897,774,336
  5. Step 5: Solve for x
    x = 2,158,806,705,897,774,336/678,300,787.31
  6. Step 6: Final answer
    x = 3,182,668,730.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.