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Finding the Third Proportional to 2,596,358.25 and 5,649,887.25

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Solution

The third proportional to 2,596,358.25 and 5,649,887.25 is: 12,294,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596,358.25 : 5,649,887.25 = 5,649,887.25 : x
  2. Step 2: Convert to fraction form
    2,596,358.25/5,649,887.25 = 5,649,887.25/x
  3. Step 3: Cross multiply
    2,596,358.25x = 5,649,887.25 × 5,649,887.25
  4. Step 4: Simplify right side
    2,596,358.25x = 31,921,225,937,712.56
  5. Step 5: Solve for x
    x = 31,921,225,937,712.56/2,596,358.25
  6. Step 6: Final answer
    x = 12,294,615.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.