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Finding the Third Proportional to 10,078,751 and 15,512,583

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Solution

The third proportional to 10,078,751 and 15,512,583 is: 23,875,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078,751 : 15,512,583 = 15,512,583 : x
  2. Step 2: Convert to fraction form
    10,078,751/15,512,583 = 15,512,583/x
  3. Step 3: Cross multiply
    10,078,751x = 15,512,583 × 15,512,583
  4. Step 4: Simplify right side
    10,078,751x = 240,640,231,331,889
  5. Step 5: Solve for x
    x = 240,640,231,331,889/10,078,751
  6. Step 6: Final answer
    x = 23,875,997.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.