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Finding the Third Proportional to 11,347,644 and 17,023,896

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Solution

The third proportional to 11,347,644 and 17,023,896 is: 25,539,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347,644 : 17,023,896 = 17,023,896 : x
  2. Step 2: Convert to fraction form
    11,347,644/17,023,896 = 17,023,896/x
  3. Step 3: Cross multiply
    11,347,644x = 17,023,896 × 17,023,896
  4. Step 4: Simplify right side
    11,347,644x = 289,813,035,018,816
  5. Step 5: Solve for x
    x = 289,813,035,018,816/11,347,644
  6. Step 6: Final answer
    x = 25,539,489.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.