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Finding the Third Proportional to 1,613,273,970 and 3,471,712,435

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Solution

The third proportional to 1,613,273,970 and 3,471,712,435 is: 7,471,010,786.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613,273,970 : 3,471,712,435 = 3,471,712,435 : x
  2. Step 2: Convert to fraction form
    1,613,273,970/3,471,712,435 = 3,471,712,435/x
  3. Step 3: Cross multiply
    1,613,273,970x = 3,471,712,435 × 3,471,712,435
  4. Step 4: Simplify right side
    1,613,273,970x = 12,052,787,231,333,629,952
  5. Step 5: Solve for x
    x = 12,052,787,231,333,629,952/1,613,273,970
  6. Step 6: Final answer
    x = 7,471,010,786.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.