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Finding the Third Proportional to 5,787,153 and 12,570,606

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Solution

The third proportional to 5,787,153 and 12,570,606 is: 27,305,332.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787,153 : 12,570,606 = 12,570,606 : x
  2. Step 2: Convert to fraction form
    5,787,153/12,570,606 = 12,570,606/x
  3. Step 3: Cross multiply
    5,787,153x = 12,570,606 × 12,570,606
  4. Step 4: Simplify right side
    5,787,153x = 158,020,135,207,236
  5. Step 5: Solve for x
    x = 158,020,135,207,236/5,787,153
  6. Step 6: Final answer
    x = 27,305,332.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.