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Finding the Third Proportional to 6,456,912 and 14,173,374

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Solution

The third proportional to 6,456,912 and 14,173,374 is: 31,111,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456,912 : 14,173,374 = 14,173,374 : x
  2. Step 2: Convert to fraction form
    6,456,912/14,173,374 = 14,173,374/x
  3. Step 3: Cross multiply
    6,456,912x = 14,173,374 × 14,173,374
  4. Step 4: Simplify right side
    6,456,912x = 200,884,530,543,876
  5. Step 5: Solve for x
    x = 200,884,530,543,876/6,456,912
  6. Step 6: Final answer
    x = 31,111,548.45

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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.