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Finding the Third Proportional to 22,071,206.53 and 47,515,564.41

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Solution

The third proportional to 22,071,206.53 and 47,515,564.41 is: 102,292,951.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,071,206.53 : 47,515,564.41 = 47,515,564.41 : x
  2. Step 2: Convert to fraction form
    22,071,206.53/47,515,564.41 = 47,515,564.41/x
  3. Step 3: Cross multiply
    22,071,206.53x = 47,515,564.41 × 47,515,564.41
  4. Step 4: Simplify right side
    22,071,206.53x = 2,257,728,860,844,492
  5. Step 5: Solve for x
    x = 2,257,728,860,844,492/22,071,206.53
  6. Step 6: Final answer
    x = 102,292,951.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.