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Finding the Third Proportional to 45,959,670 and 69,894,441

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Solution

The third proportional to 45,959,670 and 69,894,441 is: 106,293,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,959,670 : 69,894,441 = 69,894,441 : x
  2. Step 2: Convert to fraction form
    45,959,670/69,894,441 = 69,894,441/x
  3. Step 3: Cross multiply
    45,959,670x = 69,894,441 × 69,894,441
  4. Step 4: Simplify right side
    45,959,670x = 4,885,232,882,702,481
  5. Step 5: Solve for x
    x = 4,885,232,882,702,481/45,959,670
  6. Step 6: Final answer
    x = 106,293,906.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.