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Finding the Third Proportional to 2,370,176 and 5,591,652

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Solution

The third proportional to 2,370,176 and 5,591,652 is: 13,191,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370,176 : 5,591,652 = 5,591,652 : x
  2. Step 2: Convert to fraction form
    2,370,176/5,591,652 = 5,591,652/x
  3. Step 3: Cross multiply
    2,370,176x = 5,591,652 × 5,591,652
  4. Step 4: Simplify right side
    2,370,176x = 31,266,572,089,104
  5. Step 5: Solve for x
    x = 31,266,572,089,104/2,370,176
  6. Step 6: Final answer
    x = 13,191,666.82

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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.