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Finding the Third Proportional to 8,191,409.81 and 17,745,867.19

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Solution

The third proportional to 8,191,409.81 and 17,745,867.19 is: 38,444,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191,409.81 : 17,745,867.19 = 17,745,867.19 : x
  2. Step 2: Convert to fraction form
    8,191,409.81/17,745,867.19 = 17,745,867.19/x
  3. Step 3: Cross multiply
    8,191,409.81x = 17,745,867.19 × 17,745,867.19
  4. Step 4: Simplify right side
    8,191,409.81x = 314,915,802,236,389.19
  5. Step 5: Solve for x
    x = 314,915,802,236,389.19/8,191,409.81
  6. Step 6: Final answer
    x = 38,444,640.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.