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Finding the Third Proportional to 4,815,696 and 10,029,984

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Solution

The third proportional to 4,815,696 and 10,029,984 is: 20,890,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815,696 : 10,029,984 = 10,029,984 : x
  2. Step 2: Convert to fraction form
    4,815,696/10,029,984 = 10,029,984/x
  3. Step 3: Cross multiply
    4,815,696x = 10,029,984 × 10,029,984
  4. Step 4: Simplify right side
    4,815,696x = 100,600,579,040,256
  5. Step 5: Solve for x
    x = 100,600,579,040,256/4,815,696
  6. Step 6: Final answer
    x = 20,890,143.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.