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Finding the Third Proportional to 2,650,141,854 and 5,741,950,052

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Solution

The third proportional to 2,650,141,854 and 5,741,950,052 is: 12,440,839,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650,141,854 : 5,741,950,052 = 5,741,950,052 : x
  2. Step 2: Convert to fraction form
    2,650,141,854/5,741,950,052 = 5,741,950,052/x
  3. Step 3: Cross multiply
    2,650,141,854x = 5,741,950,052 × 5,741,950,052
  4. Step 4: Simplify right side
    2,650,141,854x = 32,969,990,399,662,800,896
  5. Step 5: Solve for x
    x = 32,969,990,399,662,800,896/2,650,141,854
  6. Step 6: Final answer
    x = 12,440,839,855.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.