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Finding the Third Proportional to 3,794,854,712,542 and 5,781,198,658,333

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Solution

The third proportional to 3,794,854,712,542 and 5,781,198,658,333 is: 8,807,256,261,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794,854,712,542 : 5,781,198,658,333 = 5,781,198,658,333 : x
  2. Step 2: Convert to fraction form
    3,794,854,712,542/5,781,198,658,333 = 5,781,198,658,333/x
  3. Step 3: Cross multiply
    3,794,854,712,542x = 5,781,198,658,333 × 5,781,198,658,333
  4. Step 4: Simplify right side
    3,794,854,712,542x = 33,422,257,927,111,280,674,471,936
  5. Step 5: Solve for x
    x = 33,422,257,927,111,280,674,471,936/3,794,854,712,542
  6. Step 6: Final answer
    x = 8,807,256,261,129.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.