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Finding the Third Proportional to 465,458,859 and 1,012,638,705.75

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Solution

The third proportional to 465,458,859 and 1,012,638,705.75 is: 2,203,067,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,458,859 : 1,012,638,705.75 = 1,012,638,705.75 : x
  2. Step 2: Convert to fraction form
    465,458,859/1,012,638,705.75 = 1,012,638,705.75/x
  3. Step 3: Cross multiply
    465,458,859x = 1,012,638,705.75 × 1,012,638,705.75
  4. Step 4: Simplify right side
    465,458,859x = 1,025,437,148,383,035,136
  5. Step 5: Solve for x
    x = 1,025,437,148,383,035,136/465,458,859
  6. Step 6: Final answer
    x = 2,203,067,206.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.