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Finding the Third Proportional to 551,003,229 and 1,198,857,267

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Solution

The third proportional to 551,003,229 and 1,198,857,267 is: 2,608,439,789.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,003,229 : 1,198,857,267 = 1,198,857,267 : x
  2. Step 2: Convert to fraction form
    551,003,229/1,198,857,267 = 1,198,857,267/x
  3. Step 3: Cross multiply
    551,003,229x = 1,198,857,267 × 1,198,857,267
  4. Step 4: Simplify right side
    551,003,229x = 1,437,258,746,638,709,248
  5. Step 5: Solve for x
    x = 1,437,258,746,638,709,248/551,003,229
  6. Step 6: Final answer
    x = 2,608,439,789.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.