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Finding the Third Proportional to 247,111,690 and 541,698,777

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Solution

The third proportional to 247,111,690 and 541,698,777 is: 1,187,469,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,111,690 : 541,698,777 = 541,698,777 : x
  2. Step 2: Convert to fraction form
    247,111,690/541,698,777 = 541,698,777/x
  3. Step 3: Cross multiply
    247,111,690x = 541,698,777 × 541,698,777
  4. Step 4: Simplify right side
    247,111,690x = 293,437,565,003,295,744
  5. Step 5: Solve for x
    x = 293,437,565,003,295,744/247,111,690
  6. Step 6: Final answer
    x = 1,187,469,378.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.