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Finding the Third Proportional to 4,768,360 and 10,344,064

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Solution

The third proportional to 4,768,360 and 10,344,064 is: 22,439,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768,360 : 10,344,064 = 10,344,064 : x
  2. Step 2: Convert to fraction form
    4,768,360/10,344,064 = 10,344,064/x
  3. Step 3: Cross multiply
    4,768,360x = 10,344,064 × 10,344,064
  4. Step 4: Simplify right side
    4,768,360x = 106,999,660,036,096
  5. Step 5: Solve for x
    x = 106,999,660,036,096/4,768,360
  6. Step 6: Final answer
    x = 22,439,509.61

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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.