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Finding the Third Proportional to 2,372,420,733 and 5,101,882,628.50

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Solution

The third proportional to 2,372,420,733 and 5,101,882,628.50 is: 10,971,581,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372,420,733 : 5,101,882,628.50 = 5,101,882,628.50 : x
  2. Step 2: Convert to fraction form
    2,372,420,733/5,101,882,628.50 = 5,101,882,628.50/x
  3. Step 3: Cross multiply
    2,372,420,733x = 5,101,882,628.50 × 5,101,882,628.50
  4. Step 4: Simplify right side
    2,372,420,733x = 26,029,206,354,990,067,712
  5. Step 5: Solve for x
    x = 26,029,206,354,990,067,712/2,372,420,733
  6. Step 6: Final answer
    x = 10,971,581,049.23

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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.