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Finding the Third Proportional to 8,232,679,782 and 11,107,817,920

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Solution

The third proportional to 8,232,679,782 and 11,107,817,920 is: 14,987,054,302.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232,679,782 : 11,107,817,920 = 11,107,817,920 : x
  2. Step 2: Convert to fraction form
    8,232,679,782/11,107,817,920 = 11,107,817,920/x
  3. Step 3: Cross multiply
    8,232,679,782x = 11,107,817,920 × 11,107,817,920
  4. Step 4: Simplify right side
    8,232,679,782x = 123,383,618,943,873,122,304
  5. Step 5: Solve for x
    x = 123,383,618,943,873,122,304/8,232,679,782
  6. Step 6: Final answer
    x = 14,987,054,302.01

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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.