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Finding the Third Proportional to 4,170,216 and 9,057,702

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Solution

The third proportional to 4,170,216 and 9,057,702 is: 19,673,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170,216 : 9,057,702 = 9,057,702 : x
  2. Step 2: Convert to fraction form
    4,170,216/9,057,702 = 9,057,702/x
  3. Step 3: Cross multiply
    4,170,216x = 9,057,702 × 9,057,702
  4. Step 4: Simplify right side
    4,170,216x = 82,041,965,520,804
  5. Step 5: Solve for x
    x = 82,041,965,520,804/4,170,216
  6. Step 6: Final answer
    x = 19,673,313.21

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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.