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Finding the Third Proportional to 535,086,328 and 1,175,398,001

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Solution

The third proportional to 535,086,328 and 1,175,398,001 is: 2,581,939,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,086,328 : 1,175,398,001 = 1,175,398,001 : x
  2. Step 2: Convert to fraction form
    535,086,328/1,175,398,001 = 1,175,398,001/x
  3. Step 3: Cross multiply
    535,086,328x = 1,175,398,001 × 1,175,398,001
  4. Step 4: Simplify right side
    535,086,328x = 1,381,560,460,754,796,032
  5. Step 5: Solve for x
    x = 1,381,560,460,754,796,032/535,086,328
  6. Step 6: Final answer
    x = 2,581,939,377.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.