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Finding the Third Proportional to 3,747,369,306 and 8,332,596,906

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Solution

The third proportional to 3,747,369,306 and 8,332,596,906 is: 18,528,243,556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747,369,306 : 8,332,596,906 = 8,332,596,906 : x
  2. Step 2: Convert to fraction form
    3,747,369,306/8,332,596,906 = 8,332,596,906/x
  3. Step 3: Cross multiply
    3,747,369,306x = 8,332,596,906 × 8,332,596,906
  4. Step 4: Simplify right side
    3,747,369,306x = 69,432,171,197,880,770,560
  5. Step 5: Solve for x
    x = 69,432,171,197,880,770,560/3,747,369,306
  6. Step 6: Final answer
    x = 18,528,243,556.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.