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Finding the Third Proportional to 3,971,830 and 8,485,864

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Solution

The third proportional to 3,971,830 and 8,485,864 is: 18,130,153.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971,830 : 8,485,864 = 8,485,864 : x
  2. Step 2: Convert to fraction form
    3,971,830/8,485,864 = 8,485,864/x
  3. Step 3: Cross multiply
    3,971,830x = 8,485,864 × 8,485,864
  4. Step 4: Simplify right side
    3,971,830x = 72,009,887,826,496
  5. Step 5: Solve for x
    x = 72,009,887,826,496/3,971,830
  6. Step 6: Final answer
    x = 18,130,153.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.