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Finding the Third Proportional to 4,147,943,832 and 6,064,438,866

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Solution

The third proportional to 4,147,943,832 and 6,064,438,866 is: 8,866,421,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,147,943,832 : 6,064,438,866 = 6,064,438,866 : x
  2. Step 2: Convert to fraction form
    4,147,943,832/6,064,438,866 = 6,064,438,866/x
  3. Step 3: Cross multiply
    4,147,943,832x = 6,064,438,866 × 6,064,438,866
  4. Step 4: Simplify right side
    4,147,943,832x = 36,777,418,759,451,365,376
  5. Step 5: Solve for x
    x = 36,777,418,759,451,365,376/4,147,943,832
  6. Step 6: Final answer
    x = 8,866,421,593.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.