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Finding the Third Proportional to 6,468,428.39 and 13,834,358.30

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Solution

The third proportional to 6,468,428.39 and 13,834,358.30 is: 29,588,248.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468,428.39 : 13,834,358.30 = 13,834,358.30 : x
  2. Step 2: Convert to fraction form
    6,468,428.39/13,834,358.30 = 13,834,358.30/x
  3. Step 3: Cross multiply
    6,468,428.39x = 13,834,358.30 × 13,834,358.30
  4. Step 4: Simplify right side
    6,468,428.39x = 191,389,469,486,314.16
  5. Step 5: Solve for x
    x = 191,389,469,486,314.16/6,468,428.39
  6. Step 6: Final answer
    x = 29,588,248.94

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