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Finding the Third Proportional to 11,735,077.50 and 17,951,409

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Solution

The third proportional to 11,735,077.50 and 17,951,409 is: 27,460,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735,077.50 : 17,951,409 = 17,951,409 : x
  2. Step 2: Convert to fraction form
    11,735,077.50/17,951,409 = 17,951,409/x
  3. Step 3: Cross multiply
    11,735,077.50x = 17,951,409 × 17,951,409
  4. Step 4: Simplify right side
    11,735,077.50x = 322,253,085,085,281
  5. Step 5: Solve for x
    x = 322,253,085,085,281/11,735,077.50
  6. Step 6: Final answer
    x = 27,460,669.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.