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Finding the Third Proportional to 10,421,806.50 and 22,963,893

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Solution

The third proportional to 10,421,806.50 and 22,963,893 is: 50,599,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421,806.50 : 22,963,893 = 22,963,893 : x
  2. Step 2: Convert to fraction form
    10,421,806.50/22,963,893 = 22,963,893/x
  3. Step 3: Cross multiply
    10,421,806.50x = 22,963,893 × 22,963,893
  4. Step 4: Simplify right side
    10,421,806.50x = 527,340,381,715,449
  5. Step 5: Solve for x
    x = 527,340,381,715,449/10,421,806.50
  6. Step 6: Final answer
    x = 50,599,709.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.