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Finding the Third Proportional to 26,900,512 and 42,824,916

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Solution

The third proportional to 26,900,512 and 42,824,916 is: 68,176,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,900,512 : 42,824,916 = 42,824,916 : x
  2. Step 2: Convert to fraction form
    26,900,512/42,824,916 = 42,824,916/x
  3. Step 3: Cross multiply
    26,900,512x = 42,824,916 × 42,824,916
  4. Step 4: Simplify right side
    26,900,512x = 1,833,973,430,407,056
  5. Step 5: Solve for x
    x = 1,833,973,430,407,056/26,900,512
  6. Step 6: Final answer
    x = 68,176,153.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.