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Finding the Third Proportional to 3,655,374,456 and 5,568,768,768

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Solution

The third proportional to 3,655,374,456 and 5,568,768,768 is: 8,483,723,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655,374,456 : 5,568,768,768 = 5,568,768,768 : x
  2. Step 2: Convert to fraction form
    3,655,374,456/5,568,768,768 = 5,568,768,768/x
  3. Step 3: Cross multiply
    3,655,374,456x = 5,568,768,768 × 5,568,768,768
  4. Step 4: Simplify right side
    3,655,374,456x = 31,011,185,591,452,237,824
  5. Step 5: Solve for x
    x = 31,011,185,591,452,237,824/3,655,374,456
  6. Step 6: Final answer
    x = 8,483,723,340.72

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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.