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Finding the Third Proportional to 12,322,502 and 27,478,360

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Solution

The third proportional to 12,322,502 and 27,478,360 is: 61,274,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322,502 : 27,478,360 = 27,478,360 : x
  2. Step 2: Convert to fraction form
    12,322,502/27,478,360 = 27,478,360/x
  3. Step 3: Cross multiply
    12,322,502x = 27,478,360 × 27,478,360
  4. Step 4: Simplify right side
    12,322,502x = 755,060,268,289,600
  5. Step 5: Solve for x
    x = 755,060,268,289,600/12,322,502
  6. Step 6: Final answer
    x = 61,274,915.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.