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Finding the Third Proportional to 6,590,689,003 and 9,947,324,589

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Solution

The third proportional to 6,590,689,003 and 9,947,324,589 is: 15,013,493,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590,689,003 : 9,947,324,589 = 9,947,324,589 : x
  2. Step 2: Convert to fraction form
    6,590,689,003/9,947,324,589 = 9,947,324,589/x
  3. Step 3: Cross multiply
    6,590,689,003x = 9,947,324,589 × 9,947,324,589
  4. Step 4: Simplify right side
    6,590,689,003x = 98,949,266,478,924,021,760
  5. Step 5: Solve for x
    x = 98,949,266,478,924,021,760/6,590,689,003
  6. Step 6: Final answer
    x = 15,013,493,495.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.