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Finding the Third Proportional to 3,193,880,936 and 6,950,164,718

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Solution

The third proportional to 3,193,880,936 and 6,950,164,718 is: 15,124,167,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,880,936 : 6,950,164,718 = 6,950,164,718 : x
  2. Step 2: Convert to fraction form
    3,193,880,936/6,950,164,718 = 6,950,164,718/x
  3. Step 3: Cross multiply
    3,193,880,936x = 6,950,164,718 × 6,950,164,718
  4. Step 4: Simplify right side
    3,193,880,936x = 48,304,789,607,332,020,224
  5. Step 5: Solve for x
    x = 48,304,789,607,332,020,224/3,193,880,936
  6. Step 6: Final answer
    x = 15,124,167,298.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.