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Finding the Third Proportional to 1,920,760,166 and 4,283,165,334

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Solution

The third proportional to 1,920,760,166 and 4,283,165,334 is: 9,551,169,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920,760,166 : 4,283,165,334 = 4,283,165,334 : x
  2. Step 2: Convert to fraction form
    1,920,760,166/4,283,165,334 = 4,283,165,334/x
  3. Step 3: Cross multiply
    1,920,760,166x = 4,283,165,334 × 4,283,165,334
  4. Step 4: Simplify right side
    1,920,760,166x = 18,345,505,278,379,331,584
  5. Step 5: Solve for x
    x = 18,345,505,278,379,331,584/1,920,760,166
  6. Step 6: Final answer
    x = 9,551,169,168.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.