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Finding the Third Proportional to 11,622,169 and 27,007,742.50

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Solution

The third proportional to 11,622,169 and 27,007,742.50 is: 62,760,931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622,169 : 27,007,742.50 = 27,007,742.50 : x
  2. Step 2: Convert to fraction form
    11,622,169/27,007,742.50 = 27,007,742.50/x
  3. Step 3: Cross multiply
    11,622,169x = 27,007,742.50 × 27,007,742.50
  4. Step 4: Simplify right side
    11,622,169x = 729,418,154,946,306.25
  5. Step 5: Solve for x
    x = 729,418,154,946,306.25/11,622,169
  6. Step 6: Final answer
    x = 62,760,931.71

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.