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Finding the Third Proportional to 26,942,922 and 42,208,573.50

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Solution

The third proportional to 26,942,922 and 42,208,573.50 is: 66,123,625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,942,922 : 42,208,573.50 = 42,208,573.50 : x
  2. Step 2: Convert to fraction form
    26,942,922/42,208,573.50 = 42,208,573.50/x
  3. Step 3: Cross multiply
    26,942,922x = 42,208,573.50 × 42,208,573.50
  4. Step 4: Simplify right side
    26,942,922x = 1,781,563,676,904,902.25
  5. Step 5: Solve for x
    x = 1,781,563,676,904,902.25/26,942,922
  6. Step 6: Final answer
    x = 66,123,625.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.