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Finding the Third Proportional to 3,239,145,114,580 and 6,965,770,429,640

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Solution

The third proportional to 3,239,145,114,580 and 6,965,770,429,640 is: 14,979,865,353,991.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239,145,114,580 : 6,965,770,429,640 = 6,965,770,429,640 : x
  2. Step 2: Convert to fraction form
    3,239,145,114,580/6,965,770,429,640 = 6,965,770,429,640/x
  3. Step 3: Cross multiply
    3,239,145,114,580x = 6,965,770,429,640 × 6,965,770,429,640
  4. Step 4: Simplify right side
    3,239,145,114,580x = 48,521,957,678,447,031,299,866,624
  5. Step 5: Solve for x
    x = 48,521,957,678,447,031,299,866,624/3,239,145,114,580
  6. Step 6: Final answer
    x = 14,979,865,353,991.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.