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Finding the Third Proportional to 1,604,016,567 and 2,552,305,626

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Solution

The third proportional to 1,604,016,567 and 2,552,305,626 is: 4,061,219,904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,016,567 : 2,552,305,626 = 2,552,305,626 : x
  2. Step 2: Convert to fraction form
    1,604,016,567/2,552,305,626 = 2,552,305,626/x
  3. Step 3: Cross multiply
    1,604,016,567x = 2,552,305,626 × 2,552,305,626
  4. Step 4: Simplify right side
    1,604,016,567x = 6,514,264,008,511,251,456
  5. Step 5: Solve for x
    x = 6,514,264,008,511,251,456/1,604,016,567
  6. Step 6: Final answer
    x = 4,061,219,904.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.