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Finding the Third Proportional to 3,937,430 and 8,420,836

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Solution

The third proportional to 3,937,430 and 8,420,836 is: 18,009,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937,430 : 8,420,836 = 8,420,836 : x
  2. Step 2: Convert to fraction form
    3,937,430/8,420,836 = 8,420,836/x
  3. Step 3: Cross multiply
    3,937,430x = 8,420,836 × 8,420,836
  4. Step 4: Simplify right side
    3,937,430x = 70,910,478,938,896
  5. Step 5: Solve for x
    x = 70,910,478,938,896/3,937,430
  6. Step 6: Final answer
    x = 18,009,330.69

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Why These Related Problems?

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