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Finding the Third Proportional to 5,415,796 and 11,765,247

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Solution

The third proportional to 5,415,796 and 11,765,247 is: 25,558,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415,796 : 11,765,247 = 11,765,247 : x
  2. Step 2: Convert to fraction form
    5,415,796/11,765,247 = 11,765,247/x
  3. Step 3: Cross multiply
    5,415,796x = 11,765,247 × 11,765,247
  4. Step 4: Simplify right side
    5,415,796x = 138,421,036,971,009
  5. Step 5: Solve for x
    x = 138,421,036,971,009/5,415,796
  6. Step 6: Final answer
    x = 25,558,761.26

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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.