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Finding the Third Proportional to 52,075,945 and 113,409,722

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Solution

The third proportional to 52,075,945 and 113,409,722 is: 246,980,924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,075,945 : 113,409,722 = 113,409,722 : x
  2. Step 2: Convert to fraction form
    52,075,945/113,409,722 = 113,409,722/x
  3. Step 3: Cross multiply
    52,075,945x = 113,409,722 × 113,409,722
  4. Step 4: Simplify right side
    52,075,945x = 12,861,765,044,117,284
  5. Step 5: Solve for x
    x = 12,861,765,044,117,284/52,075,945
  6. Step 6: Final answer
    x = 246,980,924.57

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Why These Related Problems?

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