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Finding the Third Proportional to 9,264,728 and 13,365,600

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Solution

The third proportional to 9,264,728 and 13,365,600 is: 19,281,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264,728 : 13,365,600 = 13,365,600 : x
  2. Step 2: Convert to fraction form
    9,264,728/13,365,600 = 13,365,600/x
  3. Step 3: Cross multiply
    9,264,728x = 13,365,600 × 13,365,600
  4. Step 4: Simplify right side
    9,264,728x = 178,639,263,360,000
  5. Step 5: Solve for x
    x = 178,639,263,360,000/9,264,728
  6. Step 6: Final answer
    x = 19,281,652.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.