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Finding the Third Proportional to 37,296,176.50 and 78,457,619

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Solution

The third proportional to 37,296,176.50 and 78,457,619 is: 165,046,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,296,176.50 : 78,457,619 = 78,457,619 : x
  2. Step 2: Convert to fraction form
    37,296,176.50/78,457,619 = 78,457,619/x
  3. Step 3: Cross multiply
    37,296,176.50x = 78,457,619 × 78,457,619
  4. Step 4: Simplify right side
    37,296,176.50x = 6,155,597,979,149,161
  5. Step 5: Solve for x
    x = 6,155,597,979,149,161/37,296,176.50
  6. Step 6: Final answer
    x = 165,046,354.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.