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Finding the Third Proportional to 827,458,367 and 1,234,011,991

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Solution

The third proportional to 827,458,367 and 1,234,011,991 is: 1,840,316,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,458,367 : 1,234,011,991 = 1,234,011,991 : x
  2. Step 2: Convert to fraction form
    827,458,367/1,234,011,991 = 1,234,011,991/x
  3. Step 3: Cross multiply
    827,458,367x = 1,234,011,991 × 1,234,011,991
  4. Step 4: Simplify right side
    827,458,367x = 1,522,785,593,931,784,192
  5. Step 5: Solve for x
    x = 1,522,785,593,931,784,192/827,458,367
  6. Step 6: Final answer
    x = 1,840,316,872.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.