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Finding the Third Proportional to 47,964,600 and 105,492,990

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Solution

The third proportional to 47,964,600 and 105,492,990 is: 232,020,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,964,600 : 105,492,990 = 105,492,990 : x
  2. Step 2: Convert to fraction form
    47,964,600/105,492,990 = 105,492,990/x
  3. Step 3: Cross multiply
    47,964,600x = 105,492,990 × 105,492,990
  4. Step 4: Simplify right side
    47,964,600x = 11,128,770,939,140,100
  5. Step 5: Solve for x
    x = 11,128,770,939,140,100/47,964,600
  6. Step 6: Final answer
    x = 232,020,509.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.