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Finding the Third Proportional to 221,836,320 and 478,747,260

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Solution

The third proportional to 221,836,320 and 478,747,260 is: 1,033,189,420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,836,320 : 478,747,260 = 478,747,260 : x
  2. Step 2: Convert to fraction form
    221,836,320/478,747,260 = 478,747,260/x
  3. Step 3: Cross multiply
    221,836,320x = 478,747,260 × 478,747,260
  4. Step 4: Simplify right side
    221,836,320x = 229,198,938,957,507,584
  5. Step 5: Solve for x
    x = 229,198,938,957,507,584/221,836,320
  6. Step 6: Final answer
    x = 1,033,189,420.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.