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Finding the Third Proportional to 23,149,767 and 49,374,091

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Solution

The third proportional to 23,149,767 and 49,374,091 is: 105,305,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,149,767 : 49,374,091 = 49,374,091 : x
  2. Step 2: Convert to fraction form
    23,149,767/49,374,091 = 49,374,091/x
  3. Step 3: Cross multiply
    23,149,767x = 49,374,091 × 49,374,091
  4. Step 4: Simplify right side
    23,149,767x = 2,437,800,862,076,281
  5. Step 5: Solve for x
    x = 2,437,800,862,076,281/23,149,767
  6. Step 6: Final answer
    x = 105,305,632.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.