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Finding the Third Proportional to 31,047,880.50 and 47,867,208.75

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Solution

The third proportional to 31,047,880.50 and 47,867,208.75 is: 73,797,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047,880.50 : 47,867,208.75 = 47,867,208.75 : x
  2. Step 2: Convert to fraction form
    31,047,880.50/47,867,208.75 = 47,867,208.75/x
  3. Step 3: Cross multiply
    31,047,880.50x = 47,867,208.75 × 47,867,208.75
  4. Step 4: Simplify right side
    31,047,880.50x = 2,291,269,673,516,076.50
  5. Step 5: Solve for x
    x = 2,291,269,673,516,076.50/31,047,880.50
  6. Step 6: Final answer
    x = 73,797,941.65

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.