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Finding the Third Proportional to 17,932,853.81 and 38,358,887.63

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Solution

The third proportional to 17,932,853.81 and 38,358,887.63 is: 82,050,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,932,853.81 : 38,358,887.63 = 38,358,887.63 : x
  2. Step 2: Convert to fraction form
    17,932,853.81/38,358,887.63 = 38,358,887.63/x
  3. Step 3: Cross multiply
    17,932,853.81x = 38,358,887.63 × 38,358,887.63
  4. Step 4: Simplify right side
    17,932,853.81x = 1,471,404,259,827,378.25
  5. Step 5: Solve for x
    x = 1,471,404,259,827,378.25/17,932,853.81
  6. Step 6: Final answer
    x = 82,050,758.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.