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Finding the Third Proportional to 899,340,362.25 and 2,005,468,216.50

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Solution

The third proportional to 899,340,362.25 and 2,005,468,216.50 is: 4,472,058,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,340,362.25 : 2,005,468,216.50 = 2,005,468,216.50 : x
  2. Step 2: Convert to fraction form
    899,340,362.25/2,005,468,216.50 = 2,005,468,216.50/x
  3. Step 3: Cross multiply
    899,340,362.25x = 2,005,468,216.50 × 2,005,468,216.50
  4. Step 4: Simplify right side
    899,340,362.25x = 4,021,902,767,391,690,752
  5. Step 5: Solve for x
    x = 4,021,902,767,391,690,752/899,340,362.25
  6. Step 6: Final answer
    x = 4,472,058,562.27

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.