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Finding the Third Proportional to 5,409,417 and 11,422,443

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Solution

The third proportional to 5,409,417 and 11,422,443 is: 24,119,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409,417 : 11,422,443 = 11,422,443 : x
  2. Step 2: Convert to fraction form
    5,409,417/11,422,443 = 11,422,443/x
  3. Step 3: Cross multiply
    5,409,417x = 11,422,443 × 11,422,443
  4. Step 4: Simplify right side
    5,409,417x = 130,472,204,088,249
  5. Step 5: Solve for x
    x = 130,472,204,088,249/5,409,417
  6. Step 6: Final answer
    x = 24,119,457.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.