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Finding the Third Proportional to 47,946,723 and 103,554,750

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Solution

The third proportional to 47,946,723 and 103,554,750 is: 223,656,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,946,723 : 103,554,750 = 103,554,750 : x
  2. Step 2: Convert to fraction form
    47,946,723/103,554,750 = 103,554,750/x
  3. Step 3: Cross multiply
    47,946,723x = 103,554,750 × 103,554,750
  4. Step 4: Simplify right side
    47,946,723x = 10,723,586,247,562,500
  5. Step 5: Solve for x
    x = 10,723,586,247,562,500/47,946,723
  6. Step 6: Final answer
    x = 223,656,291.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.