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Finding the Third Proportional to 11,761,580 and 25,477,570

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Solution

The third proportional to 11,761,580 and 25,477,570 is: 55,188,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761,580 : 25,477,570 = 25,477,570 : x
  2. Step 2: Convert to fraction form
    11,761,580/25,477,570 = 25,477,570/x
  3. Step 3: Cross multiply
    11,761,580x = 25,477,570 × 25,477,570
  4. Step 4: Simplify right side
    11,761,580x = 649,106,573,104,900
  5. Step 5: Solve for x
    x = 649,106,573,104,900/11,761,580
  6. Step 6: Final answer
    x = 55,188,722.36

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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.