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Finding the Third Proportional to 5,369,425,858 and 12,657,229,801

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Solution

The third proportional to 5,369,425,858 and 12,657,229,801 is: 29,836,610,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369,425,858 : 12,657,229,801 = 12,657,229,801 : x
  2. Step 2: Convert to fraction form
    5,369,425,858/12,657,229,801 = 12,657,229,801/x
  3. Step 3: Cross multiply
    5,369,425,858x = 12,657,229,801 × 12,657,229,801
  4. Step 4: Simplify right side
    5,369,425,858x = 160,205,466,235,322,499,072
  5. Step 5: Solve for x
    x = 160,205,466,235,322,499,072/5,369,425,858
  6. Step 6: Final answer
    x = 29,836,610,183.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.