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Finding the Third Proportional to 8,232,679,784 and 11,107,817,923

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Solution

The third proportional to 8,232,679,784 and 11,107,817,923 is: 14,987,054,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232,679,784 : 11,107,817,923 = 11,107,817,923 : x
  2. Step 2: Convert to fraction form
    8,232,679,784/11,107,817,923 = 11,107,817,923/x
  3. Step 3: Cross multiply
    8,232,679,784x = 11,107,817,923 × 11,107,817,923
  4. Step 4: Simplify right side
    8,232,679,784x = 123,383,619,010,520,039,424
  5. Step 5: Solve for x
    x = 123,383,619,010,520,039,424/8,232,679,784
  6. Step 6: Final answer
    x = 14,987,054,306.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.