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Finding the Third Proportional to 7,722,546 and 11,683,464

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Solution

The third proportional to 7,722,546 and 11,683,464 is: 17,675,949.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722,546 : 11,683,464 = 11,683,464 : x
  2. Step 2: Convert to fraction form
    7,722,546/11,683,464 = 11,683,464/x
  3. Step 3: Cross multiply
    7,722,546x = 11,683,464 × 11,683,464
  4. Step 4: Simplify right side
    7,722,546x = 136,503,331,039,296
  5. Step 5: Solve for x
    x = 136,503,331,039,296/7,722,546
  6. Step 6: Final answer
    x = 17,675,949.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.