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Finding the Third Proportional to 314,195,916.94 and 666,690,912

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Solution

The third proportional to 314,195,916.94 and 666,690,912 is: 1,414,648,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,195,916.94 : 666,690,912 = 666,690,912 : x
  2. Step 2: Convert to fraction form
    314,195,916.94/666,690,912 = 666,690,912/x
  3. Step 3: Cross multiply
    314,195,916.94x = 666,690,912 × 666,690,912
  4. Step 4: Simplify right side
    314,195,916.94x = 444,476,772,143,391,744
  5. Step 5: Solve for x
    x = 444,476,772,143,391,744/314,195,916.94
  6. Step 6: Final answer
    x = 1,414,648,466.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.