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Finding the Third Proportional to 6,951,496 and 14,538,592

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Solution

The third proportional to 6,951,496 and 14,538,592 is: 30,406,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951,496 : 14,538,592 = 14,538,592 : x
  2. Step 2: Convert to fraction form
    6,951,496/14,538,592 = 14,538,592/x
  3. Step 3: Cross multiply
    6,951,496x = 14,538,592 × 14,538,592
  4. Step 4: Simplify right side
    6,951,496x = 211,370,657,342,464
  5. Step 5: Solve for x
    x = 211,370,657,342,464/6,951,496
  6. Step 6: Final answer
    x = 30,406,499.17

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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.