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Finding the Third Proportional to 4,707,738 and 7,274,535

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Solution

The third proportional to 4,707,738 and 7,274,535 is: 11,240,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707,738 : 7,274,535 = 7,274,535 : x
  2. Step 2: Convert to fraction form
    4,707,738/7,274,535 = 7,274,535/x
  3. Step 3: Cross multiply
    4,707,738x = 7,274,535 × 7,274,535
  4. Step 4: Simplify right side
    4,707,738x = 52,918,859,466,225
  5. Step 5: Solve for x
    x = 52,918,859,466,225/4,707,738
  6. Step 6: Final answer
    x = 11,240,825.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.