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Finding the Third Proportional to 221,018,280.75 and 481,247,436.38

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Solution

The third proportional to 221,018,280.75 and 481,247,436.38 is: 1,047,873,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,018,280.75 : 481,247,436.38 = 481,247,436.38 : x
  2. Step 2: Convert to fraction form
    221,018,280.75/481,247,436.38 = 481,247,436.38/x
  3. Step 3: Cross multiply
    221,018,280.75x = 481,247,436.38 × 481,247,436.38
  4. Step 4: Simplify right side
    221,018,280.75x = 231,599,095,017,509,664
  5. Step 5: Solve for x
    x = 231,599,095,017,509,664/221,018,280.75
  6. Step 6: Final answer
    x = 1,047,873,027.66

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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.