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Finding the Third Proportional to 702,017,464.50 and 1,521,172,593

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Solution

The third proportional to 702,017,464.50 and 1,521,172,593 is: 3,296,165,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,017,464.50 : 1,521,172,593 = 1,521,172,593 : x
  2. Step 2: Convert to fraction form
    702,017,464.50/1,521,172,593 = 1,521,172,593/x
  3. Step 3: Cross multiply
    702,017,464.50x = 1,521,172,593 × 1,521,172,593
  4. Step 4: Simplify right side
    702,017,464.50x = 2,313,966,057,694,343,680
  5. Step 5: Solve for x
    x = 2,313,966,057,694,343,680/702,017,464.50
  6. Step 6: Final answer
    x = 3,296,165,942.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.