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Finding the Third Proportional to 10,950,384 and 25,349,430

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Solution

The third proportional to 10,950,384 and 25,349,430 is: 58,682,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950,384 : 25,349,430 = 25,349,430 : x
  2. Step 2: Convert to fraction form
    10,950,384/25,349,430 = 25,349,430/x
  3. Step 3: Cross multiply
    10,950,384x = 25,349,430 × 25,349,430
  4. Step 4: Simplify right side
    10,950,384x = 642,593,601,324,900
  5. Step 5: Solve for x
    x = 642,593,601,324,900/10,950,384
  6. Step 6: Final answer
    x = 58,682,289.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.