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Finding the Third Proportional to 11,499,032 and 23,335,969

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Solution

The third proportional to 11,499,032 and 23,335,969 is: 47,357,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499,032 : 23,335,969 = 23,335,969 : x
  2. Step 2: Convert to fraction form
    11,499,032/23,335,969 = 23,335,969/x
  3. Step 3: Cross multiply
    11,499,032x = 23,335,969 × 23,335,969
  4. Step 4: Simplify right side
    11,499,032x = 544,567,449,168,961
  5. Step 5: Solve for x
    x = 544,567,449,168,961/11,499,032
  6. Step 6: Final answer
    x = 47,357,677.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.