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Finding the Third Proportional to 5,346,954 and 11,546,178

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Solution

The third proportional to 5,346,954 and 11,546,178 is: 24,932,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346,954 : 11,546,178 = 11,546,178 : x
  2. Step 2: Convert to fraction form
    5,346,954/11,546,178 = 11,546,178/x
  3. Step 3: Cross multiply
    5,346,954x = 11,546,178 × 11,546,178
  4. Step 4: Simplify right side
    5,346,954x = 133,314,226,407,684
  5. Step 5: Solve for x
    x = 133,314,226,407,684/5,346,954
  6. Step 6: Final answer
    x = 24,932,742.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.