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Finding the Third Proportional to 33,137,723.75 and 69,709,516

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Solution

The third proportional to 33,137,723.75 and 69,709,516 is: 146,643,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,137,723.75 : 69,709,516 = 69,709,516 : x
  2. Step 2: Convert to fraction form
    33,137,723.75/69,709,516 = 69,709,516/x
  3. Step 3: Cross multiply
    33,137,723.75x = 69,709,516 × 69,709,516
  4. Step 4: Simplify right side
    33,137,723.75x = 4,859,416,620,954,256
  5. Step 5: Solve for x
    x = 4,859,416,620,954,256/33,137,723.75
  6. Step 6: Final answer
    x = 146,643,042.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.