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Finding the Third Proportional to 2,658,090.94 and 5,680,540.13

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Solution

The third proportional to 2,658,090.94 and 5,680,540.13 is: 12,139,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658,090.94 : 5,680,540.13 = 5,680,540.13 : x
  2. Step 2: Convert to fraction form
    2,658,090.94/5,680,540.13 = 5,680,540.13/x
  3. Step 3: Cross multiply
    2,658,090.94x = 5,680,540.13 × 5,680,540.13
  4. Step 4: Simplify right side
    2,658,090.94x = 32,268,536,111,735.02
  5. Step 5: Solve for x
    x = 32,268,536,111,735.02/2,658,090.94
  6. Step 6: Final answer
    x = 12,139,741.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.