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Finding the Third Proportional to 264,101,648 and 579,221,578

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Solution

The third proportional to 264,101,648 and 579,221,578 is: 1,270,335,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,101,648 : 579,221,578 = 579,221,578 : x
  2. Step 2: Convert to fraction form
    264,101,648/579,221,578 = 579,221,578/x
  3. Step 3: Cross multiply
    264,101,648x = 579,221,578 × 579,221,578
  4. Step 4: Simplify right side
    264,101,648x = 335,497,636,420,810,112
  5. Step 5: Solve for x
    x = 335,497,636,420,810,112/264,101,648
  6. Step 6: Final answer
    x = 1,270,335,262.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.