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Finding the Third Proportional to 697,398,336 and 1,467,074,592

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Solution

The third proportional to 697,398,336 and 1,467,074,592 is: 3,086,195,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,398,336 : 1,467,074,592 = 1,467,074,592 : x
  2. Step 2: Convert to fraction form
    697,398,336/1,467,074,592 = 1,467,074,592/x
  3. Step 3: Cross multiply
    697,398,336x = 1,467,074,592 × 1,467,074,592
  4. Step 4: Simplify right side
    697,398,336x = 2,152,307,858,491,966,464
  5. Step 5: Solve for x
    x = 2,152,307,858,491,966,464/697,398,336
  6. Step 6: Final answer
    x = 3,086,195,861.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.