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Finding the Third Proportional to 1,022,541,342 and 2,208,525,456

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Solution

The third proportional to 1,022,541,342 and 2,208,525,456 is: 4,770,061,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,541,342 : 2,208,525,456 = 2,208,525,456 : x
  2. Step 2: Convert to fraction form
    1,022,541,342/2,208,525,456 = 2,208,525,456/x
  3. Step 3: Cross multiply
    1,022,541,342x = 2,208,525,456 × 2,208,525,456
  4. Step 4: Simplify right side
    1,022,541,342x = 4,877,584,689,800,007,680
  5. Step 5: Solve for x
    x = 4,877,584,689,800,007,680/1,022,541,342
  6. Step 6: Final answer
    x = 4,770,061,110.94

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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.