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Finding the Third Proportional to 74,575,443 and 175,795,072.50

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Solution

The third proportional to 74,575,443 and 175,795,072.50 is: 414,397,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,575,443 : 175,795,072.50 = 175,795,072.50 : x
  2. Step 2: Convert to fraction form
    74,575,443/175,795,072.50 = 175,795,072.50/x
  3. Step 3: Cross multiply
    74,575,443x = 175,795,072.50 × 175,795,072.50
  4. Step 4: Simplify right side
    74,575,443x = 30,903,907,515,280,256
  5. Step 5: Solve for x
    x = 30,903,907,515,280,256/74,575,443
  6. Step 6: Final answer
    x = 414,397,907.30

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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.