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Finding the Third Proportional to 6,802,311 and 14,931,563

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Solution

The third proportional to 6,802,311 and 14,931,563 is: 32,775,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802,311 : 14,931,563 = 14,931,563 : x
  2. Step 2: Convert to fraction form
    6,802,311/14,931,563 = 14,931,563/x
  3. Step 3: Cross multiply
    6,802,311x = 14,931,563 × 14,931,563
  4. Step 4: Simplify right side
    6,802,311x = 222,951,573,622,969
  5. Step 5: Solve for x
    x = 222,951,573,622,969/6,802,311
  6. Step 6: Final answer
    x = 32,775,857.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.