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Finding the Third Proportional to 7,029,420 and 14,614,824

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Solution

The third proportional to 7,029,420 and 14,614,824 is: 30,385,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029,420 : 14,614,824 = 14,614,824 : x
  2. Step 2: Convert to fraction form
    7,029,420/14,614,824 = 14,614,824/x
  3. Step 3: Cross multiply
    7,029,420x = 14,614,824 × 14,614,824
  4. Step 4: Simplify right side
    7,029,420x = 213,593,080,550,976
  5. Step 5: Solve for x
    x = 213,593,080,550,976/7,029,420
  6. Step 6: Final answer
    x = 30,385,590.92

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.