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Finding the Third Proportional to 7,162,564 and 11,106,942

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Solution

The third proportional to 7,162,564 and 11,106,942 is: 17,223,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162,564 : 11,106,942 = 11,106,942 : x
  2. Step 2: Convert to fraction form
    7,162,564/11,106,942 = 11,106,942/x
  3. Step 3: Cross multiply
    7,162,564x = 11,106,942 × 11,106,942
  4. Step 4: Simplify right side
    7,162,564x = 123,364,160,591,364
  5. Step 5: Solve for x
    x = 123,364,160,591,364/7,162,564
  6. Step 6: Final answer
    x = 17,223,463.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.