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Finding the Third Proportional to 45,980,742 and 76,631,481

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Solution

The third proportional to 45,980,742 and 76,631,481 is: 127,713,986.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,980,742 : 76,631,481 = 76,631,481 : x
  2. Step 2: Convert to fraction form
    45,980,742/76,631,481 = 76,631,481/x
  3. Step 3: Cross multiply
    45,980,742x = 76,631,481 × 76,631,481
  4. Step 4: Simplify right side
    45,980,742x = 5,872,383,880,253,361
  5. Step 5: Solve for x
    x = 5,872,383,880,253,361/45,980,742
  6. Step 6: Final answer
    x = 127,713,986.87

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.