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Finding the Third Proportional to 1,084,866,945 and 2,354,675,601

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Solution

The third proportional to 1,084,866,945 and 2,354,675,601 is: 5,110,762,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084,866,945 : 2,354,675,601 = 2,354,675,601 : x
  2. Step 2: Convert to fraction form
    1,084,866,945/2,354,675,601 = 2,354,675,601/x
  3. Step 3: Cross multiply
    1,084,866,945x = 2,354,675,601 × 2,354,675,601
  4. Step 4: Simplify right side
    1,084,866,945x = 5,544,497,185,944,711,168
  5. Step 5: Solve for x
    x = 5,544,497,185,944,711,168/1,084,866,945
  6. Step 6: Final answer
    x = 5,110,762,394.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.