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Finding the Third Proportional to 4,706,424 and 9,941,616

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Solution

The third proportional to 4,706,424 and 9,941,616 is: 21,000,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706,424 : 9,941,616 = 9,941,616 : x
  2. Step 2: Convert to fraction form
    4,706,424/9,941,616 = 9,941,616/x
  3. Step 3: Cross multiply
    4,706,424x = 9,941,616 × 9,941,616
  4. Step 4: Simplify right side
    4,706,424x = 98,835,728,691,456
  5. Step 5: Solve for x
    x = 98,835,728,691,456/4,706,424
  6. Step 6: Final answer
    x = 21,000,175.23

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.