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Finding the Third Proportional to 7,949,133 and 17,465,923.13

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Solution

The third proportional to 7,949,133 and 17,465,923.13 is: 38,376,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949,133 : 17,465,923.13 = 17,465,923.13 : x
  2. Step 2: Convert to fraction form
    7,949,133/17,465,923.13 = 17,465,923.13/x
  3. Step 3: Cross multiply
    7,949,133x = 17,465,923.13 × 17,465,923.13
  4. Step 4: Simplify right side
    7,949,133x = 305,058,470,608,409.75
  5. Step 5: Solve for x
    x = 305,058,470,608,409.75/7,949,133
  6. Step 6: Final answer
    x = 38,376,319.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.