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Finding the Third Proportional to 51,905,832 and 122,528,610

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Solution

The third proportional to 51,905,832 and 122,528,610 is: 289,240,335.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,905,832 : 122,528,610 = 122,528,610 : x
  2. Step 2: Convert to fraction form
    51,905,832/122,528,610 = 122,528,610/x
  3. Step 3: Cross multiply
    51,905,832x = 122,528,610 × 122,528,610
  4. Step 4: Simplify right side
    51,905,832x = 15,013,260,268,532,100
  5. Step 5: Solve for x
    x = 15,013,260,268,532,100/51,905,832
  6. Step 6: Final answer
    x = 289,240,335.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.