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Finding the Third Proportional to 7,065,318 and 11,205,966

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Solution

The third proportional to 7,065,318 and 11,205,966 is: 17,773,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065,318 : 11,205,966 = 11,205,966 : x
  2. Step 2: Convert to fraction form
    7,065,318/11,205,966 = 11,205,966/x
  3. Step 3: Cross multiply
    7,065,318x = 11,205,966 × 11,205,966
  4. Step 4: Simplify right side
    7,065,318x = 125,573,673,993,156
  5. Step 5: Solve for x
    x = 125,573,673,993,156/7,065,318
  6. Step 6: Final answer
    x = 17,773,251.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.