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Finding the Third Proportional to 10,189,066 and 15,415,063

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Solution

The third proportional to 10,189,066 and 15,415,063 is: 23,321,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189,066 : 15,415,063 = 15,415,063 : x
  2. Step 2: Convert to fraction form
    10,189,066/15,415,063 = 15,415,063/x
  3. Step 3: Cross multiply
    10,189,066x = 15,415,063 × 15,415,063
  4. Step 4: Simplify right side
    10,189,066x = 237,624,167,293,969
  5. Step 5: Solve for x
    x = 237,624,167,293,969/10,189,066
  6. Step 6: Final answer
    x = 23,321,486.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.