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Finding the Third Proportional to 6,277,117 and 13,307,614

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Solution

The third proportional to 6,277,117 and 13,307,614 is: 28,212,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277,117 : 13,307,614 = 13,307,614 : x
  2. Step 2: Convert to fraction form
    6,277,117/13,307,614 = 13,307,614/x
  3. Step 3: Cross multiply
    6,277,117x = 13,307,614 × 13,307,614
  4. Step 4: Simplify right side
    6,277,117x = 177,092,590,372,996
  5. Step 5: Solve for x
    x = 177,092,590,372,996/6,277,117
  6. Step 6: Final answer
    x = 28,212,408.72

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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.