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Finding the Third Proportional to 4,823,002 and 7,461,207

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Solution

The third proportional to 4,823,002 and 7,461,207 is: 11,542,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823,002 : 7,461,207 = 7,461,207 : x
  2. Step 2: Convert to fraction form
    4,823,002/7,461,207 = 7,461,207/x
  3. Step 3: Cross multiply
    4,823,002x = 7,461,207 × 7,461,207
  4. Step 4: Simplify right side
    4,823,002x = 55,669,609,896,849
  5. Step 5: Solve for x
    x = 55,669,609,896,849/4,823,002
  6. Step 6: Final answer
    x = 11,542,522.66

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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.