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Finding the Third Proportional to 6,829,913 and 13,934,170

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Solution

The third proportional to 6,829,913 and 13,934,170 is: 28,428,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829,913 : 13,934,170 = 13,934,170 : x
  2. Step 2: Convert to fraction form
    6,829,913/13,934,170 = 13,934,170/x
  3. Step 3: Cross multiply
    6,829,913x = 13,934,170 × 13,934,170
  4. Step 4: Simplify right side
    6,829,913x = 194,161,093,588,900
  5. Step 5: Solve for x
    x = 194,161,093,588,900/6,829,913
  6. Step 6: Final answer
    x = 28,428,047.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.