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Finding the Third Proportional to 9,231,849 and 19,883,457

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Solution

The third proportional to 9,231,849 and 19,883,457 is: 42,824,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231,849 : 19,883,457 = 19,883,457 : x
  2. Step 2: Convert to fraction form
    9,231,849/19,883,457 = 19,883,457/x
  3. Step 3: Cross multiply
    9,231,849x = 19,883,457 × 19,883,457
  4. Step 4: Simplify right side
    9,231,849x = 395,351,862,270,849
  5. Step 5: Solve for x
    x = 395,351,862,270,849/9,231,849
  6. Step 6: Final answer
    x = 42,824,775.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.