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Finding the Third Proportional to 21,706,231.50 and 47,191,599

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Solution

The third proportional to 21,706,231.50 and 47,191,599 is: 102,599,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706,231.50 : 47,191,599 = 47,191,599 : x
  2. Step 2: Convert to fraction form
    21,706,231.50/47,191,599 = 47,191,599/x
  3. Step 3: Cross multiply
    21,706,231.50x = 47,191,599 × 47,191,599
  4. Step 4: Simplify right side
    21,706,231.50x = 2,227,047,016,176,801
  5. Step 5: Solve for x
    x = 2,227,047,016,176,801/21,706,231.50
  6. Step 6: Final answer
    x = 102,599,431.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.