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Finding the Third Proportional to 6,277,126 and 13,307,628

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Solution

The third proportional to 6,277,126 and 13,307,628 is: 28,212,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277,126 : 13,307,628 = 13,307,628 : x
  2. Step 2: Convert to fraction form
    6,277,126/13,307,628 = 13,307,628/x
  3. Step 3: Cross multiply
    6,277,126x = 13,307,628 × 13,307,628
  4. Step 4: Simplify right side
    6,277,126x = 177,092,962,986,384
  5. Step 5: Solve for x
    x = 177,092,962,986,384/6,277,126
  6. Step 6: Final answer
    x = 28,212,427.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.