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Finding the Third Proportional to 7,065,296 and 11,205,934

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Solution

The third proportional to 7,065,296 and 11,205,934 is: 17,773,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065,296 : 11,205,934 = 11,205,934 : x
  2. Step 2: Convert to fraction form
    7,065,296/11,205,934 = 11,205,934/x
  3. Step 3: Cross multiply
    7,065,296x = 11,205,934 × 11,205,934
  4. Step 4: Simplify right side
    7,065,296x = 125,572,956,812,356
  5. Step 5: Solve for x
    x = 125,572,956,812,356/7,065,296
  6. Step 6: Final answer
    x = 17,773,205.37

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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.