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Finding the Third Proportional to 46,617,638 and 72,967,839

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Solution

The third proportional to 46,617,638 and 72,967,839 is: 114,212,254.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,617,638 : 72,967,839 = 72,967,839 : x
  2. Step 2: Convert to fraction form
    46,617,638/72,967,839 = 72,967,839/x
  3. Step 3: Cross multiply
    46,617,638x = 72,967,839 × 72,967,839
  4. Step 4: Simplify right side
    46,617,638x = 5,324,305,528,329,921
  5. Step 5: Solve for x
    x = 5,324,305,528,329,921/46,617,638
  6. Step 6: Final answer
    x = 114,212,254.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.