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Finding the Third Proportional to 51,469,352 and 106,507,888

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Solution

The third proportional to 51,469,352 and 106,507,888 is: 220,401,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,469,352 : 106,507,888 = 106,507,888 : x
  2. Step 2: Convert to fraction form
    51,469,352/106,507,888 = 106,507,888/x
  3. Step 3: Cross multiply
    51,469,352x = 106,507,888 × 106,507,888
  4. Step 4: Simplify right side
    51,469,352x = 11,343,930,206,220,544
  5. Step 5: Solve for x
    x = 11,343,930,206,220,544/51,469,352
  6. Step 6: Final answer
    x = 220,401,651.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.