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Finding the Third Proportional to 3,666,948,033 and 7,943,083,936

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Solution

The third proportional to 3,666,948,033 and 7,943,083,936 is: 17,205,747,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666,948,033 : 7,943,083,936 = 7,943,083,936 : x
  2. Step 2: Convert to fraction form
    3,666,948,033/7,943,083,936 = 7,943,083,936/x
  3. Step 3: Cross multiply
    3,666,948,033x = 7,943,083,936 × 7,943,083,936
  4. Step 4: Simplify right side
    3,666,948,033x = 63,092,582,414,341,251,072
  5. Step 5: Solve for x
    x = 63,092,582,414,341,251,072/3,666,948,033
  6. Step 6: Final answer
    x = 17,205,747,626.24

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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.