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Finding the Third Proportional to 75,683,724 and 115,056,075

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Solution

The third proportional to 75,683,724 and 115,056,075 is: 174,910,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,683,724 : 115,056,075 = 115,056,075 : x
  2. Step 2: Convert to fraction form
    75,683,724/115,056,075 = 115,056,075/x
  3. Step 3: Cross multiply
    75,683,724x = 115,056,075 × 115,056,075
  4. Step 4: Simplify right side
    75,683,724x = 13,237,900,394,405,624
  5. Step 5: Solve for x
    x = 13,237,900,394,405,624/75,683,724
  6. Step 6: Final answer
    x = 174,910,795.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.