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Finding the Third Proportional to 3,747,369,312 and 8,332,596,916

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Solution

The third proportional to 3,747,369,312 and 8,332,596,916 is: 18,528,243,571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747,369,312 : 8,332,596,916 = 8,332,596,916 : x
  2. Step 2: Convert to fraction form
    3,747,369,312/8,332,596,916 = 8,332,596,916/x
  3. Step 3: Cross multiply
    3,747,369,312x = 8,332,596,916 × 8,332,596,916
  4. Step 4: Simplify right side
    3,747,369,312x = 69,432,171,364,532,707,328
  5. Step 5: Solve for x
    x = 69,432,171,364,532,707,328/3,747,369,312
  6. Step 6: Final answer
    x = 18,528,243,571.35

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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.