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Finding the Third Proportional to 25,942,320 and 56,315,232

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Solution

The third proportional to 25,942,320 and 56,315,232 is: 122,248,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,942,320 : 56,315,232 = 56,315,232 : x
  2. Step 2: Convert to fraction form
    25,942,320/56,315,232 = 56,315,232/x
  3. Step 3: Cross multiply
    25,942,320x = 56,315,232 × 56,315,232
  4. Step 4: Simplify right side
    25,942,320x = 3,171,405,355,213,824
  5. Step 5: Solve for x
    x = 3,171,405,355,213,824/25,942,320
  6. Step 6: Final answer
    x = 122,248,332.27

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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.