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Finding the Third Proportional to 9,624,396 and 21,400,576

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Solution

The third proportional to 9,624,396 and 21,400,576 is: 47,585,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624,396 : 21,400,576 = 21,400,576 : x
  2. Step 2: Convert to fraction form
    9,624,396/21,400,576 = 21,400,576/x
  3. Step 3: Cross multiply
    9,624,396x = 21,400,576 × 21,400,576
  4. Step 4: Simplify right side
    9,624,396x = 457,984,653,131,776
  5. Step 5: Solve for x
    x = 457,984,653,131,776/9,624,396
  6. Step 6: Final answer
    x = 47,585,807.27

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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.