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Finding the Third Proportional to 3,021,419,880 and 6,502,004,920.69

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Solution

The third proportional to 3,021,419,880 and 6,502,004,920.69 is: 13,992,119,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021,419,880 : 6,502,004,920.69 = 6,502,004,920.69 : x
  2. Step 2: Convert to fraction form
    3,021,419,880/6,502,004,920.69 = 6,502,004,920.69/x
  3. Step 3: Cross multiply
    3,021,419,880x = 6,502,004,920.69 × 6,502,004,920.69
  4. Step 4: Simplify right side
    3,021,419,880x = 42,276,067,988,640,555,008
  5. Step 5: Solve for x
    x = 42,276,067,988,640,555,008/3,021,419,880
  6. Step 6: Final answer
    x = 13,992,119,489.41

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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.