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Finding the Third Proportional to 5,409,642 and 11,422,896

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Solution

The third proportional to 5,409,642 and 11,422,896 is: 24,120,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409,642 : 11,422,896 = 11,422,896 : x
  2. Step 2: Convert to fraction form
    5,409,642/11,422,896 = 11,422,896/x
  3. Step 3: Cross multiply
    5,409,642x = 11,422,896 × 11,422,896
  4. Step 4: Simplify right side
    5,409,642x = 130,482,553,026,816
  5. Step 5: Solve for x
    x = 130,482,553,026,816/5,409,642
  6. Step 6: Final answer
    x = 24,120,367.49

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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.