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Finding the Third Proportional to 23,875,662.75 and 51,157,942.50

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Solution

The third proportional to 23,875,662.75 and 51,157,942.50 is: 109,615,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,875,662.75 : 51,157,942.50 = 51,157,942.50 : x
  2. Step 2: Convert to fraction form
    23,875,662.75/51,157,942.50 = 51,157,942.50/x
  3. Step 3: Cross multiply
    23,875,662.75x = 51,157,942.50 × 51,157,942.50
  4. Step 4: Simplify right side
    23,875,662.75x = 2,617,135,080,833,306
  5. Step 5: Solve for x
    x = 2,617,135,080,833,306/23,875,662.75
  6. Step 6: Final answer
    x = 109,615,180.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.