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Finding the Third Proportional to 4,648,255 and 7,214,864

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Solution

The third proportional to 4,648,255 and 7,214,864 is: 11,198,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648,255 : 7,214,864 = 7,214,864 : x
  2. Step 2: Convert to fraction form
    4,648,255/7,214,864 = 7,214,864/x
  3. Step 3: Cross multiply
    4,648,255x = 7,214,864 × 7,214,864
  4. Step 4: Simplify right side
    4,648,255x = 52,054,262,538,496
  5. Step 5: Solve for x
    x = 52,054,262,538,496/4,648,255
  6. Step 6: Final answer
    x = 11,198,667.57

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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.