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Finding the Third Proportional to 51,339,225 and 121,071,075

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Solution

The third proportional to 51,339,225 and 121,071,075 is: 285,516,682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,339,225 : 121,071,075 = 121,071,075 : x
  2. Step 2: Convert to fraction form
    51,339,225/121,071,075 = 121,071,075/x
  3. Step 3: Cross multiply
    51,339,225x = 121,071,075 × 121,071,075
  4. Step 4: Simplify right side
    51,339,225x = 14,658,205,201,655,624
  5. Step 5: Solve for x
    x = 14,658,205,201,655,624/51,339,225
  6. Step 6: Final answer
    x = 285,516,682.45

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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.