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Finding the Third Proportional to 11,400,944.91 and 17,668,328.77

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Solution

The third proportional to 11,400,944.91 and 17,668,328.77 is: 27,381,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400,944.91 : 17,668,328.77 = 17,668,328.77 : x
  2. Step 2: Convert to fraction form
    11,400,944.91/17,668,328.77 = 17,668,328.77/x
  3. Step 3: Cross multiply
    11,400,944.91x = 17,668,328.77 × 17,668,328.77
  4. Step 4: Simplify right side
    11,400,944.91x = 312,169,841,370,211.81
  5. Step 5: Solve for x
    x = 312,169,841,370,211.81/11,400,944.91
  6. Step 6: Final answer
    x = 27,381,049.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.