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Finding the Third Proportional to 6,420,776 and 13,372,996

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Solution

The third proportional to 6,420,776 and 13,372,996 is: 27,852,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420,776 : 13,372,996 = 13,372,996 : x
  2. Step 2: Convert to fraction form
    6,420,776/13,372,996 = 13,372,996/x
  3. Step 3: Cross multiply
    6,420,776x = 13,372,996 × 13,372,996
  4. Step 4: Simplify right side
    6,420,776x = 178,837,022,016,016
  5. Step 5: Solve for x
    x = 178,837,022,016,016/6,420,776
  6. Step 6: Final answer
    x = 27,852,867.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.