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Finding the Third Proportional to 850,861,218 and 1,850,802,180

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Solution

The third proportional to 850,861,218 and 1,850,802,180 is: 4,025,884,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,861,218 : 1,850,802,180 = 1,850,802,180 : x
  2. Step 2: Convert to fraction form
    850,861,218/1,850,802,180 = 1,850,802,180/x
  3. Step 3: Cross multiply
    850,861,218x = 1,850,802,180 × 1,850,802,180
  4. Step 4: Simplify right side
    850,861,218x = 3,425,468,709,492,752,384
  5. Step 5: Solve for x
    x = 3,425,468,709,492,752,384/850,861,218
  6. Step 6: Final answer
    x = 4,025,884,171.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.