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Finding the Third Proportional to 264,101,674 and 579,221,630

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Solution

The third proportional to 264,101,674 and 579,221,630 is: 1,270,335,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,101,674 : 579,221,630 = 579,221,630 : x
  2. Step 2: Convert to fraction form
    264,101,674/579,221,630 = 579,221,630/x
  3. Step 3: Cross multiply
    264,101,674x = 579,221,630 × 579,221,630
  4. Step 4: Simplify right side
    264,101,674x = 335,497,696,659,856,896
  5. Step 5: Solve for x
    x = 335,497,696,659,856,896/264,101,674
  6. Step 6: Final answer
    x = 1,270,335,365.84

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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.