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Finding the Third Proportional to 322,406,703 and 699,551,827.50

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Solution

The third proportional to 322,406,703 and 699,551,827.50 is: 1,517,874,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406,703 : 699,551,827.50 = 699,551,827.50 : x
  2. Step 2: Convert to fraction form
    322,406,703/699,551,827.50 = 699,551,827.50/x
  3. Step 3: Cross multiply
    322,406,703x = 699,551,827.50 × 699,551,827.50
  4. Step 4: Simplify right side
    322,406,703x = 489,372,759,358,589,760
  5. Step 5: Solve for x
    x = 489,372,759,358,589,760/322,406,703
  6. Step 6: Final answer
    x = 1,517,874,023.10

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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.