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Finding the Third Proportional to 322,406,611 and 699,551,640

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Solution

The third proportional to 322,406,611 and 699,551,640 is: 1,517,873,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406,611 : 699,551,640 = 699,551,640 : x
  2. Step 2: Convert to fraction form
    322,406,611/699,551,640 = 699,551,640/x
  3. Step 3: Cross multiply
    322,406,611x = 699,551,640 × 699,551,640
  4. Step 4: Simplify right side
    322,406,611x = 489,372,497,026,689,600
  5. Step 5: Solve for x
    x = 489,372,497,026,689,600/322,406,611
  6. Step 6: Final answer
    x = 1,517,873,642.57

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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.