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Finding the Third Proportional to 5,605,491,737 and 7,883,749,081

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Solution

The third proportional to 5,605,491,737 and 7,883,749,081 is: 11,087,965,603.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605,491,737 : 7,883,749,081 = 7,883,749,081 : x
  2. Step 2: Convert to fraction form
    5,605,491,737/7,883,749,081 = 7,883,749,081/x
  3. Step 3: Cross multiply
    5,605,491,737x = 7,883,749,081 × 7,883,749,081
  4. Step 4: Simplify right side
    5,605,491,737x = 62,153,499,572,168,343,552
  5. Step 5: Solve for x
    x = 62,153,499,572,168,343,552/5,605,491,737
  6. Step 6: Final answer
    x = 11,087,965,603.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.