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Finding the Third Proportional to 3,722,825,856 and 5,772,369,664

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Solution

The third proportional to 3,722,825,856 and 5,772,369,664 is: 8,950,257,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722,825,856 : 5,772,369,664 = 5,772,369,664 : x
  2. Step 2: Convert to fraction form
    3,722,825,856/5,772,369,664 = 5,772,369,664/x
  3. Step 3: Cross multiply
    3,722,825,856x = 5,772,369,664 × 5,772,369,664
  4. Step 4: Simplify right side
    3,722,825,856x = 33,320,251,537,867,472,896
  5. Step 5: Solve for x
    x = 33,320,251,537,867,472,896/3,722,825,856
  6. Step 6: Final answer
    x = 8,950,257,902.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.