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Finding the Third Proportional to 2,735,470,806 and 6,451,000,278

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Solution

The third proportional to 2,735,470,806 and 6,451,000,278 is: 15,213,251,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735,470,806 : 6,451,000,278 = 6,451,000,278 : x
  2. Step 2: Convert to fraction form
    2,735,470,806/6,451,000,278 = 6,451,000,278/x
  3. Step 3: Cross multiply
    2,735,470,806x = 6,451,000,278 × 6,451,000,278
  4. Step 4: Simplify right side
    2,735,470,806x = 41,615,404,586,756,079,616
  5. Step 5: Solve for x
    x = 41,615,404,586,756,079,616/2,735,470,806
  6. Step 6: Final answer
    x = 15,213,251,223.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.