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Finding the Third Proportional to 7,483,454 and 16,164,412

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Solution

The third proportional to 7,483,454 and 16,164,412 is: 34,915,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483,454 : 16,164,412 = 16,164,412 : x
  2. Step 2: Convert to fraction form
    7,483,454/16,164,412 = 16,164,412/x
  3. Step 3: Cross multiply
    7,483,454x = 16,164,412 × 16,164,412
  4. Step 4: Simplify right side
    7,483,454x = 261,288,215,305,744
  5. Step 5: Solve for x
    x = 261,288,215,305,744/7,483,454
  6. Step 6: Final answer
    x = 34,915,456.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.