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Finding the Third Proportional to 3,414,970.13 and 7,272,367.31

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Solution

The third proportional to 3,414,970.13 and 7,272,367.31 is: 15,486,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414,970.13 : 7,272,367.31 = 7,272,367.31 : x
  2. Step 2: Convert to fraction form
    3,414,970.13/7,272,367.31 = 7,272,367.31/x
  3. Step 3: Cross multiply
    3,414,970.13x = 7,272,367.31 × 7,272,367.31
  4. Step 4: Simplify right side
    3,414,970.13x = 52,887,326,327,918.47
  5. Step 5: Solve for x
    x = 52,887,326,327,918.47/3,414,970.13
  6. Step 6: Final answer
    x = 15,486,907.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.