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Finding the Third Proportional to 4,008,306 and 8,410,488

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Solution

The third proportional to 4,008,306 and 8,410,488 is: 17,647,432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,008,306 : 8,410,488 = 8,410,488 : x
  2. Step 2: Convert to fraction form
    4,008,306/8,410,488 = 8,410,488/x
  3. Step 3: Cross multiply
    4,008,306x = 8,410,488 × 8,410,488
  4. Step 4: Simplify right side
    4,008,306x = 70,736,308,398,144
  5. Step 5: Solve for x
    x = 70,736,308,398,144/4,008,306
  6. Step 6: Final answer
    x = 17,647,432.21

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.