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Finding the Third Proportional to 23,300,834 and 34,951,253

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Solution

The third proportional to 23,300,834 and 34,951,253 is: 52,426,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,300,834 : 34,951,253 = 34,951,253 : x
  2. Step 2: Convert to fraction form
    23,300,834/34,951,253 = 34,951,253/x
  3. Step 3: Cross multiply
    23,300,834x = 34,951,253 × 34,951,253
  4. Step 4: Simplify right side
    23,300,834x = 1,221,590,086,270,009
  5. Step 5: Solve for x
    x = 1,221,590,086,270,009/23,300,834
  6. Step 6: Final answer
    x = 52,426,882.50

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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.