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Finding the Third Proportional to 222,939,632 and 466,206,880

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Solution

The third proportional to 222,939,632 and 466,206,880 is: 974,922,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,939,632 : 466,206,880 = 466,206,880 : x
  2. Step 2: Convert to fraction form
    222,939,632/466,206,880 = 466,206,880/x
  3. Step 3: Cross multiply
    222,939,632x = 466,206,880 × 466,206,880
  4. Step 4: Simplify right side
    222,939,632x = 217,348,854,959,334,400
  5. Step 5: Solve for x
    x = 217,348,854,959,334,400/222,939,632
  6. Step 6: Final answer
    x = 974,922,462.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.