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Finding the Third Proportional to 9,624,397 and 21,400,578

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Solution

The third proportional to 9,624,397 and 21,400,578 is: 47,585,811.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624,397 : 21,400,578 = 21,400,578 : x
  2. Step 2: Convert to fraction form
    9,624,397/21,400,578 = 21,400,578/x
  3. Step 3: Cross multiply
    9,624,397x = 21,400,578 × 21,400,578
  4. Step 4: Simplify right side
    9,624,397x = 457,984,738,734,084
  5. Step 5: Solve for x
    x = 457,984,738,734,084/9,624,397
  6. Step 6: Final answer
    x = 47,585,811.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.