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Finding the Third Proportional to 11,735,938 and 17,952,613

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Solution

The third proportional to 11,735,938 and 17,952,613 is: 27,462,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735,938 : 17,952,613 = 17,952,613 : x
  2. Step 2: Convert to fraction form
    11,735,938/17,952,613 = 17,952,613/x
  3. Step 3: Cross multiply
    11,735,938x = 17,952,613 × 17,952,613
  4. Step 4: Simplify right side
    11,735,938x = 322,296,313,527,769
  5. Step 5: Solve for x
    x = 322,296,313,527,769/11,735,938
  6. Step 6: Final answer
    x = 27,462,339.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.