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Finding the Third Proportional to 47,915,206 and 104,225,647

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Solution

The third proportional to 47,915,206 and 104,225,647 is: 226,712,695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,915,206 : 104,225,647 = 104,225,647 : x
  2. Step 2: Convert to fraction form
    47,915,206/104,225,647 = 104,225,647/x
  3. Step 3: Cross multiply
    47,915,206x = 104,225,647 × 104,225,647
  4. Step 4: Simplify right side
    47,915,206x = 10,862,985,492,568,608
  5. Step 5: Solve for x
    x = 10,862,985,492,568,608/47,915,206
  6. Step 6: Final answer
    x = 226,712,695.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.