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Finding the Third Proportional to 6,834,833 and 9,614,049

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Solution

The third proportional to 6,834,833 and 9,614,049 is: 13,523,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834,833 : 9,614,049 = 9,614,049 : x
  2. Step 2: Convert to fraction form
    6,834,833/9,614,049 = 9,614,049/x
  3. Step 3: Cross multiply
    6,834,833x = 9,614,049 × 9,614,049
  4. Step 4: Simplify right side
    6,834,833x = 92,429,938,174,401
  5. Step 5: Solve for x
    x = 92,429,938,174,401/6,834,833
  6. Step 6: Final answer
    x = 13,523,364.53

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.