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Finding the Third Proportional to 1,110,221,289 and 2,468,604,387

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Solution

The third proportional to 1,110,221,289 and 2,468,604,387 is: 5,489,002,669.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110,221,289 : 2,468,604,387 = 2,468,604,387 : x
  2. Step 2: Convert to fraction form
    1,110,221,289/2,468,604,387 = 2,468,604,387/x
  3. Step 3: Cross multiply
    1,110,221,289x = 2,468,604,387 × 2,468,604,387
  4. Step 4: Simplify right side
    1,110,221,289x = 6,094,007,619,515,645,952
  5. Step 5: Solve for x
    x = 6,094,007,619,515,645,952/1,110,221,289
  6. Step 6: Final answer
    x = 5,489,002,669.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.