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Finding the Third Proportional to 387,027,942 and 835,624,524

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Solution

The third proportional to 387,027,942 and 835,624,524 is: 1,804,180,704.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,027,942 : 835,624,524 = 835,624,524 : x
  2. Step 2: Convert to fraction form
    387,027,942/835,624,524 = 835,624,524/x
  3. Step 3: Cross multiply
    387,027,942x = 835,624,524 × 835,624,524
  4. Step 4: Simplify right side
    387,027,942x = 698,268,345,110,226,560
  5. Step 5: Solve for x
    x = 698,268,345,110,226,560/387,027,942
  6. Step 6: Final answer
    x = 1,804,180,704.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.