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Finding the Third Proportional to 8,922,568,666.50 and 13,348,476,670.50

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Solution

The third proportional to 8,922,568,666.50 and 13,348,476,670.50 is: 19,969,790,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922,568,666.50 : 13,348,476,670.50 = 13,348,476,670.50 : x
  2. Step 2: Convert to fraction form
    8,922,568,666.50/13,348,476,670.50 = 13,348,476,670.50/x
  3. Step 3: Cross multiply
    8,922,568,666.50x = 13,348,476,670.50 × 13,348,476,670.50
  4. Step 4: Simplify right side
    8,922,568,666.50x = 178,181,829,422,882,750,464
  5. Step 5: Solve for x
    x = 178,181,829,422,882,750,464/8,922,568,666.50
  6. Step 6: Final answer
    x = 19,969,790,772.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.