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Finding the Third Proportional to 10,852,522.50 and 22,598,163

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Solution

The third proportional to 10,852,522.50 and 22,598,163 is: 47,056,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852,522.50 : 22,598,163 = 22,598,163 : x
  2. Step 2: Convert to fraction form
    10,852,522.50/22,598,163 = 22,598,163/x
  3. Step 3: Cross multiply
    10,852,522.50x = 22,598,163 × 22,598,163
  4. Step 4: Simplify right side
    10,852,522.50x = 510,676,970,974,569
  5. Step 5: Solve for x
    x = 510,676,970,974,569/10,852,522.50
  6. Step 6: Final answer
    x = 47,056,061.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.