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Finding the Third Proportional to 2,681,644.22 and 5,864,615.16

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Solution

The third proportional to 2,681,644.22 and 5,864,615.16 is: 12,825,605.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681,644.22 : 5,864,615.16 = 5,864,615.16 : x
  2. Step 2: Convert to fraction form
    2,681,644.22/5,864,615.16 = 5,864,615.16/x
  3. Step 3: Cross multiply
    2,681,644.22x = 5,864,615.16 × 5,864,615.16
  4. Step 4: Simplify right side
    2,681,644.22x = 34,393,710,930,917.21
  5. Step 5: Solve for x
    x = 34,393,710,930,917.21/2,681,644.22
  6. Step 6: Final answer
    x = 12,825,605.53

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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.