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Finding the Third Proportional to 7,722,550 and 11,683,470

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Solution

The third proportional to 7,722,550 and 11,683,470 is: 17,675,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722,550 : 11,683,470 = 11,683,470 : x
  2. Step 2: Convert to fraction form
    7,722,550/11,683,470 = 11,683,470/x
  3. Step 3: Cross multiply
    7,722,550x = 11,683,470 × 11,683,470
  4. Step 4: Simplify right side
    7,722,550x = 136,503,471,240,900
  5. Step 5: Solve for x
    x = 136,503,471,240,900/7,722,550
  6. Step 6: Final answer
    x = 17,675,958.23

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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.