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Finding the Third Proportional to 10,093,299 and 21,890,271

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Solution

The third proportional to 10,093,299 and 21,890,271 is: 47,475,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093,299 : 21,890,271 = 21,890,271 : x
  2. Step 2: Convert to fraction form
    10,093,299/21,890,271 = 21,890,271/x
  3. Step 3: Cross multiply
    10,093,299x = 21,890,271 × 21,890,271
  4. Step 4: Simplify right side
    10,093,299x = 479,183,964,453,441
  5. Step 5: Solve for x
    x = 479,183,964,453,441/10,093,299
  6. Step 6: Final answer
    x = 47,475,455.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.