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Finding the Third Proportional to 4,229,605.69 and 8,941,384.13

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Solution

The third proportional to 4,229,605.69 and 8,941,384.13 is: 18,902,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229,605.69 : 8,941,384.13 = 8,941,384.13 : x
  2. Step 2: Convert to fraction form
    4,229,605.69/8,941,384.13 = 8,941,384.13/x
  3. Step 3: Cross multiply
    4,229,605.69x = 8,941,384.13 × 8,941,384.13
  4. Step 4: Simplify right side
    4,229,605.69x = 79,948,350,070,802.02
  5. Step 5: Solve for x
    x = 79,948,350,070,802.02/4,229,605.69
  6. Step 6: Final answer
    x = 18,902,081.18

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Why These Related Problems?

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