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Finding the Third Proportional to 462,431,186 and 668,133,181

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Solution

The third proportional to 462,431,186 and 668,133,181 is: 965,337,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,431,186 : 668,133,181 = 668,133,181 : x
  2. Step 2: Convert to fraction form
    462,431,186/668,133,181 = 668,133,181/x
  3. Step 3: Cross multiply
    462,431,186x = 668,133,181 × 668,133,181
  4. Step 4: Simplify right side
    462,431,186x = 446,401,947,553,178,752
  5. Step 5: Solve for x
    x = 446,401,947,553,178,752/462,431,186
  6. Step 6: Final answer
    x = 965,337,029.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.