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Finding the Third Proportional to 1,920,760,179 and 4,283,165,358

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Solution

The third proportional to 1,920,760,179 and 4,283,165,358 is: 9,551,169,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920,760,179 : 4,283,165,358 = 4,283,165,358 : x
  2. Step 2: Convert to fraction form
    1,920,760,179/4,283,165,358 = 4,283,165,358/x
  3. Step 3: Cross multiply
    1,920,760,179x = 4,283,165,358 × 4,283,165,358
  4. Step 4: Simplify right side
    1,920,760,179x = 18,345,505,483,971,268,608
  5. Step 5: Solve for x
    x = 18,345,505,483,971,268,608/1,920,760,179
  6. Step 6: Final answer
    x = 9,551,169,211.31

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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.