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Finding the Third Proportional to 26,975,794.50 and 40,047,007.50

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Solution

The third proportional to 26,975,794.50 and 40,047,007.50 is: 59,451,921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,975,794.50 : 40,047,007.50 = 40,047,007.50 : x
  2. Step 2: Convert to fraction form
    26,975,794.50/40,047,007.50 = 40,047,007.50/x
  3. Step 3: Cross multiply
    26,975,794.50x = 40,047,007.50 × 40,047,007.50
  4. Step 4: Simplify right side
    26,975,794.50x = 1,603,762,809,705,056.25
  5. Step 5: Solve for x
    x = 1,603,762,809,705,056.25/26,975,794.50
  6. Step 6: Final answer
    x = 59,451,921.23

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.