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Finding the Third Proportional to 9,992,984,759 and 22,220,258,286

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Solution

The third proportional to 9,992,984,759 and 22,220,258,286 is: 49,408,649,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992,984,759 : 22,220,258,286 = 22,220,258,286 : x
  2. Step 2: Convert to fraction form
    9,992,984,759/22,220,258,286 = 22,220,258,286/x
  3. Step 3: Cross multiply
    9,992,984,759x = 22,220,258,286 × 22,220,258,286
  4. Step 4: Simplify right side
    9,992,984,759x = 493,739,878,296,551,686,144
  5. Step 5: Solve for x
    x = 493,739,878,296,551,686,144/9,992,984,759
  6. Step 6: Final answer
    x = 49,408,649,187.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.