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Finding the Third Proportional to 1,665,331,910 and 3,702,906,524

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Solution

The third proportional to 1,665,331,910 and 3,702,906,524 is: 8,233,503,869.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,331,910 : 3,702,906,524 = 3,702,906,524 : x
  2. Step 2: Convert to fraction form
    1,665,331,910/3,702,906,524 = 3,702,906,524/x
  3. Step 3: Cross multiply
    1,665,331,910x = 3,702,906,524 × 3,702,906,524
  4. Step 4: Simplify right side
    1,665,331,910x = 13,711,516,725,481,762,816
  5. Step 5: Solve for x
    x = 13,711,516,725,481,762,816/1,665,331,910
  6. Step 6: Final answer
    x = 8,233,503,869.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.