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Finding the Third Proportional to 11,564,883 and 17,349,531.75

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Solution

The third proportional to 11,564,883 and 17,349,531.75 is: 26,027,608.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564,883 : 17,349,531.75 = 17,349,531.75 : x
  2. Step 2: Convert to fraction form
    11,564,883/17,349,531.75 = 17,349,531.75/x
  3. Step 3: Cross multiply
    11,564,883x = 17,349,531.75 × 17,349,531.75
  4. Step 4: Simplify right side
    11,564,883x = 301,006,251,944,258.06
  5. Step 5: Solve for x
    x = 301,006,251,944,258.06/11,564,883
  6. Step 6: Final answer
    x = 26,027,608.92

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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.