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Finding the Third Proportional to 2,649,629.25 and 5,739,437.81

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Solution

The third proportional to 2,649,629.25 and 5,739,437.81 is: 12,432,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,629.25 : 5,739,437.81 = 5,739,437.81 : x
  2. Step 2: Convert to fraction form
    2,649,629.25/5,739,437.81 = 5,739,437.81/x
  3. Step 3: Cross multiply
    2,649,629.25x = 5,739,437.81 × 5,739,437.81
  4. Step 4: Simplify right side
    2,649,629.25x = 32,941,146,403,554.79
  5. Step 5: Solve for x
    x = 32,941,146,403,554.79/2,649,629.25
  6. Step 6: Final answer
    x = 12,432,360.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.