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Finding the Third Proportional to 3,834,837 and 8,208,343.50

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Solution

The third proportional to 3,834,837 and 8,208,343.50 is: 17,569,691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834,837 : 8,208,343.50 = 8,208,343.50 : x
  2. Step 2: Convert to fraction form
    3,834,837/8,208,343.50 = 8,208,343.50/x
  3. Step 3: Cross multiply
    3,834,837x = 8,208,343.50 × 8,208,343.50
  4. Step 4: Simplify right side
    3,834,837x = 67,376,903,013,992.25
  5. Step 5: Solve for x
    x = 67,376,903,013,992.25/3,834,837
  6. Step 6: Final answer
    x = 17,569,691.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.