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Finding the Third Proportional to 322,406,733 and 699,551,884.50

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Solution

The third proportional to 322,406,733 and 699,551,884.50 is: 1,517,874,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406,733 : 699,551,884.50 = 699,551,884.50 : x
  2. Step 2: Convert to fraction form
    322,406,733/699,551,884.50 = 699,551,884.50/x
  3. Step 3: Cross multiply
    322,406,733x = 699,551,884.50 × 699,551,884.50
  4. Step 4: Simplify right side
    322,406,733x = 489,372,839,107,501,312
  5. Step 5: Solve for x
    x = 489,372,839,107,501,312/322,406,733
  6. Step 6: Final answer
    x = 1,517,874,129.22

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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.