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Finding the Third Proportional to 31,684,626 and 67,916,632

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Solution

The third proportional to 31,684,626 and 67,916,632 is: 145,580,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684,626 : 67,916,632 = 67,916,632 : x
  2. Step 2: Convert to fraction form
    31,684,626/67,916,632 = 67,916,632/x
  3. Step 3: Cross multiply
    31,684,626x = 67,916,632 × 67,916,632
  4. Step 4: Simplify right side
    31,684,626x = 4,612,668,902,223,424
  5. Step 5: Solve for x
    x = 4,612,668,902,223,424/31,684,626
  6. Step 6: Final answer
    x = 145,580,664.33

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