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Finding the Third Proportional to 274,089,615.75 and 591,864,421.50

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Solution

The third proportional to 274,089,615.75 and 591,864,421.50 is: 1,278,061,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,089,615.75 : 591,864,421.50 = 591,864,421.50 : x
  2. Step 2: Convert to fraction form
    274,089,615.75/591,864,421.50 = 591,864,421.50/x
  3. Step 3: Cross multiply
    274,089,615.75x = 591,864,421.50 × 591,864,421.50
  4. Step 4: Simplify right side
    274,089,615.75x = 350,303,493,437,529,664
  5. Step 5: Solve for x
    x = 350,303,493,437,529,664/274,089,615.75
  6. Step 6: Final answer
    x = 1,278,061,894.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.