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Finding the Third Proportional to 4,369,682.25 and 6,615,237.94

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Solution

The third proportional to 4,369,682.25 and 6,615,237.94 is: 10,014,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,369,682.25 : 6,615,237.94 = 6,615,237.94 : x
  2. Step 2: Convert to fraction form
    4,369,682.25/6,615,237.94 = 6,615,237.94/x
  3. Step 3: Cross multiply
    4,369,682.25x = 6,615,237.94 × 6,615,237.94
  4. Step 4: Simplify right side
    4,369,682.25x = 43,761,372,969,739.25
  5. Step 5: Solve for x
    x = 43,761,372,969,739.25/4,369,682.25
  6. Step 6: Final answer
    x = 10,014,772.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.