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Finding the Third Proportional to 264,101,650 and 579,221,582

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Solution

The third proportional to 264,101,650 and 579,221,582 is: 1,270,335,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,101,650 : 579,221,582 = 579,221,582 : x
  2. Step 2: Convert to fraction form
    264,101,650/579,221,582 = 579,221,582/x
  3. Step 3: Cross multiply
    264,101,650x = 579,221,582 × 579,221,582
  4. Step 4: Simplify right side
    264,101,650x = 335,497,641,054,582,720
  5. Step 5: Solve for x
    x = 335,497,641,054,582,720/264,101,650
  6. Step 6: Final answer
    x = 1,270,335,270.74

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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.