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Finding the Third Proportional to 1,086,865,832 and 2,296,406,864

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Solution

The third proportional to 1,086,865,832 and 2,296,406,864 is: 4,852,010,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,865,832 : 2,296,406,864 = 2,296,406,864 : x
  2. Step 2: Convert to fraction form
    1,086,865,832/2,296,406,864 = 2,296,406,864/x
  3. Step 3: Cross multiply
    1,086,865,832x = 2,296,406,864 × 2,296,406,864
  4. Step 4: Simplify right side
    1,086,865,832x = 5,273,484,485,026,314,240
  5. Step 5: Solve for x
    x = 5,273,484,485,026,314,240/1,086,865,832
  6. Step 6: Final answer
    x = 4,852,010,551.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.