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Finding the Third Proportional to 11,735,928 and 17,952,597

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Solution

The third proportional to 11,735,928 and 17,952,597 is: 27,462,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735,928 : 17,952,597 = 17,952,597 : x
  2. Step 2: Convert to fraction form
    11,735,928/17,952,597 = 17,952,597/x
  3. Step 3: Cross multiply
    11,735,928x = 17,952,597 × 17,952,597
  4. Step 4: Simplify right side
    11,735,928x = 322,295,739,044,409
  5. Step 5: Solve for x
    x = 322,295,739,044,409/11,735,928
  6. Step 6: Final answer
    x = 27,462,313.93

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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.