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Finding the Third Proportional to 10,793,954.81 and 23,381,523

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Solution

The third proportional to 10,793,954.81 and 23,381,523 is: 50,648,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,793,954.81 : 23,381,523 = 23,381,523 : x
  2. Step 2: Convert to fraction form
    10,793,954.81/23,381,523 = 23,381,523/x
  3. Step 3: Cross multiply
    10,793,954.81x = 23,381,523 × 23,381,523
  4. Step 4: Simplify right side
    10,793,954.81x = 546,695,617,799,529
  5. Step 5: Solve for x
    x = 546,695,617,799,529/10,793,954.81
  6. Step 6: Final answer
    x = 50,648,314.48

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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.