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Finding the Third Proportional to 6,404,880 and 14,069,472

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Solution

The third proportional to 6,404,880 and 14,069,472 is: 30,906,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404,880 : 14,069,472 = 14,069,472 : x
  2. Step 2: Convert to fraction form
    6,404,880/14,069,472 = 14,069,472/x
  3. Step 3: Cross multiply
    6,404,880x = 14,069,472 × 14,069,472
  4. Step 4: Simplify right side
    6,404,880x = 197,950,042,358,784
  5. Step 5: Solve for x
    x = 197,950,042,358,784/6,404,880
  6. Step 6: Final answer
    x = 30,906,128.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.