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Finding the Third Proportional to 49,717,368,912 and 106,526,286,532

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Solution

The third proportional to 49,717,368,912 and 106,526,286,532 is: 228,247,189,475.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,717,368,912 : 106,526,286,532 = 106,526,286,532 : x
  2. Step 2: Convert to fraction form
    49,717,368,912/106,526,286,532 = 106,526,286,532/x
  3. Step 3: Cross multiply
    49,717,368,912x = 106,526,286,532 × 106,526,286,532
  4. Step 4: Simplify right side
    49,717,368,912x = 11,347,849,722,297,764,020,224
  5. Step 5: Solve for x
    x = 11,347,849,722,297,764,020,224/49,717,368,912
  6. Step 6: Final answer
    x = 228,247,189,475.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.