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Finding the Third Proportional to 52,075,898 and 113,409,610

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Solution

The third proportional to 52,075,898 and 113,409,610 is: 246,980,659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,075,898 : 113,409,610 = 113,409,610 : x
  2. Step 2: Convert to fraction form
    52,075,898/113,409,610 = 113,409,610/x
  3. Step 3: Cross multiply
    52,075,898x = 113,409,610 × 113,409,610
  4. Step 4: Simplify right side
    52,075,898x = 12,861,739,640,352,100
  5. Step 5: Solve for x
    x = 12,861,739,640,352,100/52,075,898
  6. Step 6: Final answer
    x = 246,980,659.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.