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Finding the Third Proportional to 41,047,512 and 89,239,771

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Solution

The third proportional to 41,047,512 and 89,239,771 is: 194,012,653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,047,512 : 89,239,771 = 89,239,771 : x
  2. Step 2: Convert to fraction form
    41,047,512/89,239,771 = 89,239,771/x
  3. Step 3: Cross multiply
    41,047,512x = 89,239,771 × 89,239,771
  4. Step 4: Simplify right side
    41,047,512x = 7,963,736,728,132,441
  5. Step 5: Solve for x
    x = 7,963,736,728,132,441/41,047,512
  6. Step 6: Final answer
    x = 194,012,653.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.