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Finding the Third Proportional to 3,655,374,432 and 5,568,768,732

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Solution

The third proportional to 3,655,374,432 and 5,568,768,732 is: 8,483,723,286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655,374,432 : 5,568,768,732 = 5,568,768,732 : x
  2. Step 2: Convert to fraction form
    3,655,374,432/5,568,768,732 = 5,568,768,732/x
  3. Step 3: Cross multiply
    3,655,374,432x = 5,568,768,732 × 5,568,768,732
  4. Step 4: Simplify right side
    3,655,374,432x = 31,011,185,190,500,888,576
  5. Step 5: Solve for x
    x = 31,011,185,190,500,888,576/3,655,374,432
  6. Step 6: Final answer
    x = 8,483,723,286.74

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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.