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Finding the Third Proportional to 74,627,017.50 and 161,477,907

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Solution

The third proportional to 74,627,017.50 and 161,477,907 is: 349,405,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,627,017.50 : 161,477,907 = 161,477,907 : x
  2. Step 2: Convert to fraction form
    74,627,017.50/161,477,907 = 161,477,907/x
  3. Step 3: Cross multiply
    74,627,017.50x = 161,477,907 × 161,477,907
  4. Step 4: Simplify right side
    74,627,017.50x = 26,075,114,449,100,648
  5. Step 5: Solve for x
    x = 26,075,114,449,100,648/74,627,017.50
  6. Step 6: Final answer
    x = 349,405,822.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.