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Finding the Third Proportional to 11,761,574 and 25,477,557

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Solution

The third proportional to 11,761,574 and 25,477,557 is: 55,188,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761,574 : 25,477,557 = 25,477,557 : x
  2. Step 2: Convert to fraction form
    11,761,574/25,477,557 = 25,477,557/x
  3. Step 3: Cross multiply
    11,761,574x = 25,477,557 × 25,477,557
  4. Step 4: Simplify right side
    11,761,574x = 649,105,910,688,249
  5. Step 5: Solve for x
    x = 649,105,910,688,249/11,761,574
  6. Step 6: Final answer
    x = 55,188,694.19

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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.