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Finding the Third Proportional to 1,604,016,574.50 and 2,552,305,638

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Solution

The third proportional to 1,604,016,574.50 and 2,552,305,638 is: 4,061,219,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,016,574.50 : 2,552,305,638 = 2,552,305,638 : x
  2. Step 2: Convert to fraction form
    1,604,016,574.50/2,552,305,638 = 2,552,305,638/x
  3. Step 3: Cross multiply
    1,604,016,574.50x = 2,552,305,638 × 2,552,305,638
  4. Step 4: Simplify right side
    1,604,016,574.50x = 6,514,264,069,766,587,392
  5. Step 5: Solve for x
    x = 6,514,264,069,766,587,392/1,604,016,574.50
  6. Step 6: Final answer
    x = 4,061,219,923.36

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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.