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Finding the Third Proportional to 664,400,436 and 1,423,568,412

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Solution

The third proportional to 664,400,436 and 1,423,568,412 is: 3,050,189,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,400,436 : 1,423,568,412 = 1,423,568,412 : x
  2. Step 2: Convert to fraction form
    664,400,436/1,423,568,412 = 1,423,568,412/x
  3. Step 3: Cross multiply
    664,400,436x = 1,423,568,412 × 1,423,568,412
  4. Step 4: Simplify right side
    664,400,436x = 2,026,547,023,644,201,728
  5. Step 5: Solve for x
    x = 2,026,547,023,644,201,728/664,400,436
  6. Step 6: Final answer
    x = 3,050,189,183.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.