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Finding the Third Proportional to 3,857,470 and 8,400,704

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Solution

The third proportional to 3,857,470 and 8,400,704 is: 18,294,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,470 : 8,400,704 = 8,400,704 : x
  2. Step 2: Convert to fraction form
    3,857,470/8,400,704 = 8,400,704/x
  3. Step 3: Cross multiply
    3,857,470x = 8,400,704 × 8,400,704
  4. Step 4: Simplify right side
    3,857,470x = 70,571,827,695,616
  5. Step 5: Solve for x
    x = 70,571,827,695,616/3,857,470
  6. Step 6: Final answer
    x = 18,294,848.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.