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Finding the Third Proportional to 6,306,634 and 13,834,136

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Solution

The third proportional to 6,306,634 and 13,834,136 is: 30,346,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306,634 : 13,834,136 = 13,834,136 : x
  2. Step 2: Convert to fraction form
    6,306,634/13,834,136 = 13,834,136/x
  3. Step 3: Cross multiply
    6,306,634x = 13,834,136 × 13,834,136
  4. Step 4: Simplify right side
    6,306,634x = 191,383,318,866,496
  5. Step 5: Solve for x
    x = 191,383,318,866,496/6,306,634
  6. Step 6: Final answer
    x = 30,346,349.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.