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Finding the Third Proportional to 6,577,296 and 14,346,672

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Solution

The third proportional to 6,577,296 and 14,346,672 is: 31,293,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577,296 : 14,346,672 = 14,346,672 : x
  2. Step 2: Convert to fraction form
    6,577,296/14,346,672 = 14,346,672/x
  3. Step 3: Cross multiply
    6,577,296x = 14,346,672 × 14,346,672
  4. Step 4: Simplify right side
    6,577,296x = 205,826,997,475,584
  5. Step 5: Solve for x
    x = 205,826,997,475,584/6,577,296
  6. Step 6: Final answer
    x = 31,293,558.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.