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Finding the Third Proportional to 3,644,208.98 and 7,972,802.16

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Solution

The third proportional to 3,644,208.98 and 7,972,802.16 is: 17,442,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644,208.98 : 7,972,802.16 = 7,972,802.16 : x
  2. Step 2: Convert to fraction form
    3,644,208.98/7,972,802.16 = 7,972,802.16/x
  3. Step 3: Cross multiply
    3,644,208.98x = 7,972,802.16 × 7,972,802.16
  4. Step 4: Simplify right side
    3,644,208.98x = 63,565,574,222,704.65
  5. Step 5: Solve for x
    x = 63,565,574,222,704.65/3,644,208.98
  6. Step 6: Final answer
    x = 17,442,900.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.