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Finding the Third Proportional to 4,463,790 and 9,724,728

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Solution

The third proportional to 4,463,790 and 9,724,728 is: 21,186,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463,790 : 9,724,728 = 9,724,728 : x
  2. Step 2: Convert to fraction form
    4,463,790/9,724,728 = 9,724,728/x
  3. Step 3: Cross multiply
    4,463,790x = 9,724,728 × 9,724,728
  4. Step 4: Simplify right side
    4,463,790x = 94,570,334,673,984
  5. Step 5: Solve for x
    x = 94,570,334,673,984/4,463,790
  6. Step 6: Final answer
    x = 21,186,107.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.