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Finding the Third Proportional to 42,709,680 and 92,137,824

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Solution

The third proportional to 42,709,680 and 92,137,824 is: 198,769,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,709,680 : 92,137,824 = 92,137,824 : x
  2. Step 2: Convert to fraction form
    42,709,680/92,137,824 = 92,137,824/x
  3. Step 3: Cross multiply
    42,709,680x = 92,137,824 × 92,137,824
  4. Step 4: Simplify right side
    42,709,680x = 8,489,378,611,454,976
  5. Step 5: Solve for x
    x = 8,489,378,611,454,976/42,709,680
  6. Step 6: Final answer
    x = 198,769,426.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.