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Finding the Third Proportional to 322,406,709 and 699,551,835

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Solution

The third proportional to 322,406,709 and 699,551,835 is: 1,517,874,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406,709 : 699,551,835 = 699,551,835 : x
  2. Step 2: Convert to fraction form
    322,406,709/699,551,835 = 699,551,835/x
  3. Step 3: Cross multiply
    322,406,709x = 699,551,835 × 699,551,835
  4. Step 4: Simplify right side
    322,406,709x = 489,372,769,851,867,200
  5. Step 5: Solve for x
    x = 489,372,769,851,867,200/322,406,709
  6. Step 6: Final answer
    x = 1,517,874,027.40

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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.