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Finding the Third Proportional to 5,101,773.19 and 11,100,318.38

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Solution

The third proportional to 5,101,773.19 and 11,100,318.38 is: 24,151,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101,773.19 : 11,100,318.38 = 11,100,318.38 : x
  2. Step 2: Convert to fraction form
    5,101,773.19/11,100,318.38 = 11,100,318.38/x
  3. Step 3: Cross multiply
    5,101,773.19x = 11,100,318.38 × 11,100,318.38
  4. Step 4: Simplify right side
    5,101,773.19x = 123,217,068,026,362.64
  5. Step 5: Solve for x
    x = 123,217,068,026,362.64/5,101,773.19
  6. Step 6: Final answer
    x = 24,151,812.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.