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Finding the Third Proportional to 47,999,468 and 105,341,652

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Solution

The third proportional to 47,999,468 and 105,341,652 is: 231,187,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,999,468 : 105,341,652 = 105,341,652 : x
  2. Step 2: Convert to fraction form
    47,999,468/105,341,652 = 105,341,652/x
  3. Step 3: Cross multiply
    47,999,468x = 105,341,652 × 105,341,652
  4. Step 4: Simplify right side
    47,999,468x = 11,096,863,646,089,104
  5. Step 5: Solve for x
    x = 11,096,863,646,089,104/47,999,468
  6. Step 6: Final answer
    x = 231,187,221.62

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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.