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Finding the Third Proportional to 272,142,096 and 420,246,018

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Solution

The third proportional to 272,142,096 and 420,246,018 is: 648,950,376.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,142,096 : 420,246,018 = 420,246,018 : x
  2. Step 2: Convert to fraction form
    272,142,096/420,246,018 = 420,246,018/x
  3. Step 3: Cross multiply
    272,142,096x = 420,246,018 × 420,246,018
  4. Step 4: Simplify right side
    272,142,096x = 176,606,715,644,856,320
  5. Step 5: Solve for x
    x = 176,606,715,644,856,320/272,142,096
  6. Step 6: Final answer
    x = 648,950,376.44

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.