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Finding the Third Proportional to 10,025,720 and 21,194,368

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Solution

The third proportional to 10,025,720 and 21,194,368 is: 44,804,885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025,720 : 21,194,368 = 21,194,368 : x
  2. Step 2: Convert to fraction form
    10,025,720/21,194,368 = 21,194,368/x
  3. Step 3: Cross multiply
    10,025,720x = 21,194,368 × 21,194,368
  4. Step 4: Simplify right side
    10,025,720x = 449,201,234,919,424
  5. Step 5: Solve for x
    x = 449,201,234,919,424/10,025,720
  6. Step 6: Final answer
    x = 44,804,885.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.