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Finding the Third Proportional to 36,926,928 and 80,355,928.50

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Solution

The third proportional to 36,926,928 and 80,355,928.50 is: 174,860,883.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,926,928 : 80,355,928.50 = 80,355,928.50 : x
  2. Step 2: Convert to fraction form
    36,926,928/80,355,928.50 = 80,355,928.50/x
  3. Step 3: Cross multiply
    36,926,928x = 80,355,928.50 × 80,355,928.50
  4. Step 4: Simplify right side
    36,926,928x = 6,457,075,245,097,112
  5. Step 5: Solve for x
    x = 6,457,075,245,097,112/36,926,928
  6. Step 6: Final answer
    x = 174,860,883.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.