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Finding the Third Proportional to 3,794,854,712,535 and 5,781,198,658,324.50

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Solution

The third proportional to 3,794,854,712,535 and 5,781,198,658,324.50 is: 8,807,256,261,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794,854,712,535 : 5,781,198,658,324.50 = 5,781,198,658,324.50 : x
  2. Step 2: Convert to fraction form
    3,794,854,712,535/5,781,198,658,324.50 = 5,781,198,658,324.50/x
  3. Step 3: Cross multiply
    3,794,854,712,535x = 5,781,198,658,324.50 × 5,781,198,658,324.50
  4. Step 4: Simplify right side
    3,794,854,712,535x = 33,422,257,927,012,998,937,837,568
  5. Step 5: Solve for x
    x = 33,422,257,927,012,998,937,837,568/3,794,854,712,535
  6. Step 6: Final answer
    x = 8,807,256,261,119.57

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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.