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Finding the Third Proportional to 49,908,569,576 and 110,975,983,008

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Solution

The third proportional to 49,908,569,576 and 110,975,983,008 is: 246,764,611,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,908,569,576 : 110,975,983,008 = 110,975,983,008 : x
  2. Step 2: Convert to fraction form
    49,908,569,576/110,975,983,008 = 110,975,983,008/x
  3. Step 3: Cross multiply
    49,908,569,576x = 110,975,983,008 × 110,975,983,008
  4. Step 4: Simplify right side
    49,908,569,576x = 12,315,668,804,591,903,834,112
  5. Step 5: Solve for x
    x = 12,315,668,804,591,903,834,112/49,908,569,576
  6. Step 6: Final answer
    x = 246,764,611,953.82

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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.