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Finding the Third Proportional to 4,823,166 and 7,464,830

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Solution

The third proportional to 4,823,166 and 7,464,830 is: 11,553,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823,166 : 7,464,830 = 7,464,830 : x
  2. Step 2: Convert to fraction form
    4,823,166/7,464,830 = 7,464,830/x
  3. Step 3: Cross multiply
    4,823,166x = 7,464,830 × 7,464,830
  4. Step 4: Simplify right side
    4,823,166x = 55,723,686,928,900
  5. Step 5: Solve for x
    x = 55,723,686,928,900/4,823,166
  6. Step 6: Final answer
    x = 11,553,342.13

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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.