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Finding the Third Proportional to 3,428,696,823 and 7,441,898,286

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Solution

The third proportional to 3,428,696,823 and 7,441,898,286 is: 16,152,448,862.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428,696,823 : 7,441,898,286 = 7,441,898,286 : x
  2. Step 2: Convert to fraction form
    3,428,696,823/7,441,898,286 = 7,441,898,286/x
  3. Step 3: Cross multiply
    3,428,696,823x = 7,441,898,286 × 7,441,898,286
  4. Step 4: Simplify right side
    3,428,696,823x = 55,381,850,099,169,738,752
  5. Step 5: Solve for x
    x = 55,381,850,099,169,738,752/3,428,696,823
  6. Step 6: Final answer
    x = 16,152,448,862.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.