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Finding the Third Proportional to 5,977,600 and 12,380,535

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Solution

The third proportional to 5,977,600 and 12,380,535 is: 25,642,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977,600 : 12,380,535 = 12,380,535 : x
  2. Step 2: Convert to fraction form
    5,977,600/12,380,535 = 12,380,535/x
  3. Step 3: Cross multiply
    5,977,600x = 12,380,535 × 12,380,535
  4. Step 4: Simplify right side
    5,977,600x = 153,277,646,886,225
  5. Step 5: Solve for x
    x = 153,277,646,886,225/5,977,600
  6. Step 6: Final answer
    x = 25,642,004.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.