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Finding the Third Proportional to 3,780,176 and 8,084,896

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Solution

The third proportional to 3,780,176 and 8,084,896 is: 17,291,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780,176 : 8,084,896 = 8,084,896 : x
  2. Step 2: Convert to fraction form
    3,780,176/8,084,896 = 8,084,896/x
  3. Step 3: Cross multiply
    3,780,176x = 8,084,896 × 8,084,896
  4. Step 4: Simplify right side
    3,780,176x = 65,365,543,330,816
  5. Step 5: Solve for x
    x = 65,365,543,330,816/3,780,176
  6. Step 6: Final answer
    x = 17,291,666.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.