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Finding the Third Proportional to 4,704,830 and 7,192,471

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Solution

The third proportional to 4,704,830 and 7,192,471 is: 10,995,432.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,704,830 : 7,192,471 = 7,192,471 : x
  2. Step 2: Convert to fraction form
    4,704,830/7,192,471 = 7,192,471/x
  3. Step 3: Cross multiply
    4,704,830x = 7,192,471 × 7,192,471
  4. Step 4: Simplify right side
    4,704,830x = 51,731,639,085,841
  5. Step 5: Solve for x
    x = 51,731,639,085,841/4,704,830
  6. Step 6: Final answer
    x = 10,995,432.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.