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Finding the Third Proportional to 863,685,999 and 1,864,992,942

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Solution

The third proportional to 863,685,999 and 1,864,992,942 is: 4,027,156,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,685,999 : 1,864,992,942 = 1,864,992,942 : x
  2. Step 2: Convert to fraction form
    863,685,999/1,864,992,942 = 1,864,992,942/x
  3. Step 3: Cross multiply
    863,685,999x = 1,864,992,942 × 1,864,992,942
  4. Step 4: Simplify right side
    863,685,999x = 3,478,198,673,709,815,296
  5. Step 5: Solve for x
    x = 3,478,198,673,709,815,296/863,685,999
  6. Step 6: Final answer
    x = 4,027,156,487.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.