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Finding the Third Proportional to 10,670,908 and 23,415,794

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Solution

The third proportional to 10,670,908 and 23,415,794 is: 51,382,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670,908 : 23,415,794 = 23,415,794 : x
  2. Step 2: Convert to fraction form
    10,670,908/23,415,794 = 23,415,794/x
  3. Step 3: Cross multiply
    10,670,908x = 23,415,794 × 23,415,794
  4. Step 4: Simplify right side
    10,670,908x = 548,299,408,650,436
  5. Step 5: Solve for x
    x = 548,299,408,650,436/10,670,908
  6. Step 6: Final answer
    x = 51,382,638.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.