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Finding the Third Proportional to 53,235,436,728 and 82,694,234,184

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Solution

The third proportional to 53,235,436,728 and 82,694,234,184 is: 128,454,593,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,235,436,728 : 82,694,234,184 = 82,694,234,184 : x
  2. Step 2: Convert to fraction form
    53,235,436,728/82,694,234,184 = 82,694,234,184/x
  3. Step 3: Cross multiply
    53,235,436,728x = 82,694,234,184 × 82,694,234,184
  4. Step 4: Simplify right side
    53,235,436,728x = 6,838,336,367,278,234,271,744
  5. Step 5: Solve for x
    x = 6,838,336,367,278,234,271,744/53,235,436,728
  6. Step 6: Final answer
    x = 128,454,593,172.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.