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Finding the Third Proportional to 3,304,999,584 and 7,259,277,105

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Solution

The third proportional to 3,304,999,584 and 7,259,277,105 is: 15,944,662,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304,999,584 : 7,259,277,105 = 7,259,277,105 : x
  2. Step 2: Convert to fraction form
    3,304,999,584/7,259,277,105 = 7,259,277,105/x
  3. Step 3: Cross multiply
    3,304,999,584x = 7,259,277,105 × 7,259,277,105
  4. Step 4: Simplify right side
    3,304,999,584x = 52,697,104,087,177,183,232
  5. Step 5: Solve for x
    x = 52,697,104,087,177,183,232/3,304,999,584
  6. Step 6: Final answer
    x = 15,944,662,850.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.