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Finding the Third Proportional to 2,988,230,524 and 4,465,876,035

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Solution

The third proportional to 2,988,230,524 and 4,465,876,035 is: 6,674,200,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,988,230,524 : 4,465,876,035 = 4,465,876,035 : x
  2. Step 2: Convert to fraction form
    2,988,230,524/4,465,876,035 = 4,465,876,035/x
  3. Step 3: Cross multiply
    2,988,230,524x = 4,465,876,035 × 4,465,876,035
  4. Step 4: Simplify right side
    2,988,230,524x = 19,944,048,759,987,322,880
  5. Step 5: Solve for x
    x = 19,944,048,759,987,322,880/2,988,230,524
  6. Step 6: Final answer
    x = 6,674,200,199.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.