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Finding the Third Proportional to 47,277,443 and 103,522,950

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Solution

The third proportional to 47,277,443 and 103,522,950 is: 226,683,181.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,277,443 : 103,522,950 = 103,522,950 : x
  2. Step 2: Convert to fraction form
    47,277,443/103,522,950 = 103,522,950/x
  3. Step 3: Cross multiply
    47,277,443x = 103,522,950 × 103,522,950
  4. Step 4: Simplify right side
    47,277,443x = 10,717,001,176,702,500
  5. Step 5: Solve for x
    x = 10,717,001,176,702,500/47,277,443
  6. Step 6: Final answer
    x = 226,683,181.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.