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Finding the Third Proportional to 1,033,647,936 and 1,588,788,192

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Solution

The third proportional to 1,033,647,936 and 1,588,788,192 is: 2,442,077,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,647,936 : 1,588,788,192 = 1,588,788,192 : x
  2. Step 2: Convert to fraction form
    1,033,647,936/1,588,788,192 = 1,588,788,192/x
  3. Step 3: Cross multiply
    1,033,647,936x = 1,588,788,192 × 1,588,788,192
  4. Step 4: Simplify right side
    1,033,647,936x = 2,524,247,919,038,628,864
  5. Step 5: Solve for x
    x = 2,524,247,919,038,628,864/1,033,647,936
  6. Step 6: Final answer
    x = 2,442,077,066.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.