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Finding the Third Proportional to 9,195,966 and 21,677,457

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Solution

The third proportional to 9,195,966 and 21,677,457 is: 51,099,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195,966 : 21,677,457 = 21,677,457 : x
  2. Step 2: Convert to fraction form
    9,195,966/21,677,457 = 21,677,457/x
  3. Step 3: Cross multiply
    9,195,966x = 21,677,457 × 21,677,457
  4. Step 4: Simplify right side
    9,195,966x = 469,912,141,986,849
  5. Step 5: Solve for x
    x = 469,912,141,986,849/9,195,966
  6. Step 6: Final answer
    x = 51,099,812.89

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.