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Finding the Third Proportional to 4,633,920 and 9,590,057

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Solution

The third proportional to 4,633,920 and 9,590,057 is: 19,846,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633,920 : 9,590,057 = 9,590,057 : x
  2. Step 2: Convert to fraction form
    4,633,920/9,590,057 = 9,590,057/x
  3. Step 3: Cross multiply
    4,633,920x = 9,590,057 × 9,590,057
  4. Step 4: Simplify right side
    4,633,920x = 91,969,193,263,249
  5. Step 5: Solve for x
    x = 91,969,193,263,249/4,633,920
  6. Step 6: Final answer
    x = 19,846,953.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.