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Finding the Third Proportional to 6,951,420 and 14,538,438

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Solution

The third proportional to 6,951,420 and 14,538,438 is: 30,406,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951,420 : 14,538,438 = 14,538,438 : x
  2. Step 2: Convert to fraction form
    6,951,420/14,538,438 = 14,538,438/x
  3. Step 3: Cross multiply
    6,951,420x = 14,538,438 × 14,538,438
  4. Step 4: Simplify right side
    6,951,420x = 211,366,179,479,844
  5. Step 5: Solve for x
    x = 211,366,179,479,844/6,951,420
  6. Step 6: Final answer
    x = 30,406,187.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.