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Finding the Third Proportional to 47,004,429 and 103,089,021

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Solution

The third proportional to 47,004,429 and 103,089,021 is: 226,092,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,004,429 : 103,089,021 = 103,089,021 : x
  2. Step 2: Convert to fraction form
    47,004,429/103,089,021 = 103,089,021/x
  3. Step 3: Cross multiply
    47,004,429x = 103,089,021 × 103,089,021
  4. Step 4: Simplify right side
    47,004,429x = 10,627,346,250,738,440
  5. Step 5: Solve for x
    x = 10,627,346,250,738,440/47,004,429
  6. Step 6: Final answer
    x = 226,092,444.41

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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.