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Finding the Third Proportional to 9,790,496 and 21,208,144

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Solution

The third proportional to 9,790,496 and 21,208,144 is: 45,941,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,496 : 21,208,144 = 21,208,144 : x
  2. Step 2: Convert to fraction form
    9,790,496/21,208,144 = 21,208,144/x
  3. Step 3: Cross multiply
    9,790,496x = 21,208,144 × 21,208,144
  4. Step 4: Simplify right side
    9,790,496x = 449,785,371,924,736
  5. Step 5: Solve for x
    x = 449,785,371,924,736/9,790,496
  6. Step 6: Final answer
    x = 45,941,019.94

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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.