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Finding the Third Proportional to 1,969,514,522 and 4,253,493,334

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Solution

The third proportional to 1,969,514,522 and 4,253,493,334 is: 9,186,124,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,514,522 : 4,253,493,334 = 4,253,493,334 : x
  2. Step 2: Convert to fraction form
    1,969,514,522/4,253,493,334 = 4,253,493,334/x
  3. Step 3: Cross multiply
    1,969,514,522x = 4,253,493,334 × 4,253,493,334
  4. Step 4: Simplify right side
    1,969,514,522x = 18,092,205,542,382,436,352
  5. Step 5: Solve for x
    x = 18,092,205,542,382,436,352/1,969,514,522
  6. Step 6: Final answer
    x = 9,186,124,468.89

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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.