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Finding the Third Proportional to 6,590,689,005 and 9,947,324,592

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Solution

The third proportional to 6,590,689,005 and 9,947,324,592 is: 15,013,493,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590,689,005 : 9,947,324,592 = 9,947,324,592 : x
  2. Step 2: Convert to fraction form
    6,590,689,005/9,947,324,592 = 9,947,324,592/x
  3. Step 3: Cross multiply
    6,590,689,005x = 9,947,324,592 × 9,947,324,592
  4. Step 4: Simplify right side
    6,590,689,005x = 98,949,266,538,607,968,256
  5. Step 5: Solve for x
    x = 98,949,266,538,607,968,256/6,590,689,005
  6. Step 6: Final answer
    x = 15,013,493,500.23

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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.