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Finding the Third Proportional to 3,889,576,249.50 and 8,369,078,561.25

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Solution

The third proportional to 3,889,576,249.50 and 8,369,078,561.25 is: 18,007,482,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889,576,249.50 : 8,369,078,561.25 = 8,369,078,561.25 : x
  2. Step 2: Convert to fraction form
    3,889,576,249.50/8,369,078,561.25 = 8,369,078,561.25/x
  3. Step 3: Cross multiply
    3,889,576,249.50x = 8,369,078,561.25 × 8,369,078,561.25
  4. Step 4: Simplify right side
    3,889,576,249.50x = 70,041,475,964,374,368,256
  5. Step 5: Solve for x
    x = 70,041,475,964,374,368,256/3,889,576,249.50
  6. Step 6: Final answer
    x = 18,007,482,427.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.