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Finding the Third Proportional to 6,984,657 and 10,433,961

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Solution

The third proportional to 6,984,657 and 10,433,961 is: 15,586,669.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984,657 : 10,433,961 = 10,433,961 : x
  2. Step 2: Convert to fraction form
    6,984,657/10,433,961 = 10,433,961/x
  3. Step 3: Cross multiply
    6,984,657x = 10,433,961 × 10,433,961
  4. Step 4: Simplify right side
    6,984,657x = 108,867,542,149,521
  5. Step 5: Solve for x
    x = 108,867,542,149,521/6,984,657
  6. Step 6: Final answer
    x = 15,586,669.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.