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Finding the Third Proportional to 8,561,380,878 and 18,806,366,844

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Solution

The third proportional to 8,561,380,878 and 18,806,366,844 is: 41,311,026,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561,380,878 : 18,806,366,844 = 18,806,366,844 : x
  2. Step 2: Convert to fraction form
    8,561,380,878/18,806,366,844 = 18,806,366,844/x
  3. Step 3: Cross multiply
    8,561,380,878x = 18,806,366,844 × 18,806,366,844
  4. Step 4: Simplify right side
    8,561,380,878x = 353,679,433,871,102,509,056
  5. Step 5: Solve for x
    x = 353,679,433,871,102,509,056/8,561,380,878
  6. Step 6: Final answer
    x = 41,311,026,680.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.