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Finding the Third Proportional to 678,231,470.25 and 1,469,164,018.50

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Solution

The third proportional to 678,231,470.25 and 1,469,164,018.50 is: 3,182,457,623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,231,470.25 : 1,469,164,018.50 = 1,469,164,018.50 : x
  2. Step 2: Convert to fraction form
    678,231,470.25/1,469,164,018.50 = 1,469,164,018.50/x
  3. Step 3: Cross multiply
    678,231,470.25x = 1,469,164,018.50 × 1,469,164,018.50
  4. Step 4: Simplify right side
    678,231,470.25x = 2,158,442,913,255,068,416
  5. Step 5: Solve for x
    x = 2,158,442,913,255,068,416/678,231,470.25
  6. Step 6: Final answer
    x = 3,182,457,623.88

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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.