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Finding the Third Proportional to 1,054,409,215 and 2,267,503,390.75

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Solution

The third proportional to 1,054,409,215 and 2,267,503,390.75 is: 4,876,258,243.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054,409,215 : 2,267,503,390.75 = 2,267,503,390.75 : x
  2. Step 2: Convert to fraction form
    1,054,409,215/2,267,503,390.75 = 2,267,503,390.75/x
  3. Step 3: Cross multiply
    1,054,409,215x = 2,267,503,390.75 × 2,267,503,390.75
  4. Step 4: Simplify right side
    1,054,409,215x = 5,141,571,627,062,747,136
  5. Step 5: Solve for x
    x = 5,141,571,627,062,747,136/1,054,409,215
  6. Step 6: Final answer
    x = 4,876,258,243.88

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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.