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Finding the Third Proportional to 67,482,189,696 and 145,120,216,896

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Solution

The third proportional to 67,482,189,696 and 145,120,216,896 is: 312,080,527,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,482,189,696 : 145,120,216,896 = 145,120,216,896 : x
  2. Step 2: Convert to fraction form
    67,482,189,696/145,120,216,896 = 145,120,216,896/x
  3. Step 3: Cross multiply
    67,482,189,696x = 145,120,216,896 × 145,120,216,896
  4. Step 4: Simplify right side
    67,482,189,696x = 21,059,877,351,942,082,527,232
  5. Step 5: Solve for x
    x = 21,059,877,351,942,082,527,232/67,482,189,696
  6. Step 6: Final answer
    x = 312,080,527,422.34

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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.