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Finding the Third Proportional to 4,743,162,948 and 10,302,844,308

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Solution

The third proportional to 4,743,162,948 and 10,302,844,308 is: 22,379,286,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743,162,948 : 10,302,844,308 = 10,302,844,308 : x
  2. Step 2: Convert to fraction form
    4,743,162,948/10,302,844,308 = 10,302,844,308/x
  3. Step 3: Cross multiply
    4,743,162,948x = 10,302,844,308 × 10,302,844,308
  4. Step 4: Simplify right side
    4,743,162,948x = 106,148,600,834,887,991,296
  5. Step 5: Solve for x
    x = 106,148,600,834,887,991,296/4,743,162,948
  6. Step 6: Final answer
    x = 22,379,286,142.73

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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.