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Finding the Third Proportional to 678,299,424.47 and 1,469,285,216.16

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Solution

The third proportional to 678,299,424.47 and 1,469,285,216.16 is: 3,182,663,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,299,424.47 : 1,469,285,216.16 = 1,469,285,216.16 : x
  2. Step 2: Convert to fraction form
    678,299,424.47/1,469,285,216.16 = 1,469,285,216.16/x
  3. Step 3: Cross multiply
    678,299,424.47x = 1,469,285,216.16 × 1,469,285,216.16
  4. Step 4: Simplify right side
    678,299,424.47x = 2,158,799,046,415,171,072
  5. Step 5: Solve for x
    x = 2,158,799,046,415,171,072/678,299,424.47
  6. Step 6: Final answer
    x = 3,182,663,833.32

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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.