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Finding the Third Proportional to 5,477,424 and 11,820,896

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Solution

The third proportional to 5,477,424 and 11,820,896 is: 25,510,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477,424 : 11,820,896 = 11,820,896 : x
  2. Step 2: Convert to fraction form
    5,477,424/11,820,896 = 11,820,896/x
  3. Step 3: Cross multiply
    5,477,424x = 11,820,896 × 11,820,896
  4. Step 4: Simplify right side
    5,477,424x = 139,733,582,242,816
  5. Step 5: Solve for x
    x = 139,733,582,242,816/5,477,424
  6. Step 6: Final answer
    x = 25,510,820.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.