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Finding the Third Proportional to 10,187,302.50 and 15,412,194

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Solution

The third proportional to 10,187,302.50 and 15,412,194 is: 23,316,842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,187,302.50 : 15,412,194 = 15,412,194 : x
  2. Step 2: Convert to fraction form
    10,187,302.50/15,412,194 = 15,412,194/x
  3. Step 3: Cross multiply
    10,187,302.50x = 15,412,194 × 15,412,194
  4. Step 4: Simplify right side
    10,187,302.50x = 237,535,723,893,636
  5. Step 5: Solve for x
    x = 237,535,723,893,636/10,187,302.50
  6. Step 6: Final answer
    x = 23,316,842.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.