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Finding the Third Proportional to 2,577,652.88 and 5,651,071.31

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Solution

The third proportional to 2,577,652.88 and 5,651,071.31 is: 12,389,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577,652.88 : 5,651,071.31 = 5,651,071.31 : x
  2. Step 2: Convert to fraction form
    2,577,652.88/5,651,071.31 = 5,651,071.31/x
  3. Step 3: Cross multiply
    2,577,652.88x = 5,651,071.31 × 5,651,071.31
  4. Step 4: Simplify right side
    2,577,652.88x = 31,934,606,978,960.47
  5. Step 5: Solve for x
    x = 31,934,606,978,960.47/2,577,652.88
  6. Step 6: Final answer
    x = 12,389,025.41

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