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Finding the Third Proportional to 17,757,290 and 38,970,951

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Solution

The third proportional to 17,757,290 and 38,970,951 is: 85,527,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757,290 : 38,970,951 = 38,970,951 : x
  2. Step 2: Convert to fraction form
    17,757,290/38,970,951 = 38,970,951/x
  3. Step 3: Cross multiply
    17,757,290x = 38,970,951 × 38,970,951
  4. Step 4: Simplify right side
    17,757,290x = 1,518,735,021,844,401
  5. Step 5: Solve for x
    x = 1,518,735,021,844,401/17,757,290
  6. Step 6: Final answer
    x = 85,527,409.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.