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Finding the Third Proportional to 681,916,697 and 1,470,273,390

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Solution

The third proportional to 681,916,697 and 1,470,273,390 is: 3,170,040,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,916,697 : 1,470,273,390 = 1,470,273,390 : x
  2. Step 2: Convert to fraction form
    681,916,697/1,470,273,390 = 1,470,273,390/x
  3. Step 3: Cross multiply
    681,916,697x = 1,470,273,390 × 1,470,273,390
  4. Step 4: Simplify right side
    681,916,697x = 2,161,703,841,342,092,032
  5. Step 5: Solve for x
    x = 2,161,703,841,342,092,032/681,916,697
  6. Step 6: Final answer
    x = 3,170,040,931.47

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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.