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Finding the Third Proportional to 264,433,226,403 and 566,591,325,125.50

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Solution

The third proportional to 264,433,226,403 and 566,591,325,125.50 is: 1,214,014,343,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,433,226,403 : 566,591,325,125.50 = 566,591,325,125.50 : x
  2. Step 2: Convert to fraction form
    264,433,226,403/566,591,325,125.50 = 566,591,325,125.50/x
  3. Step 3: Cross multiply
    264,433,226,403x = 566,591,325,125.50 × 566,591,325,125.50
  4. Step 4: Simplify right side
    264,433,226,403x = 321,025,729,707,470,021,984,256
  5. Step 5: Solve for x
    x = 321,025,729,707,470,021,984,256/264,433,226,403
  6. Step 6: Final answer
    x = 1,214,014,343,334.53

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Why These Related Problems?

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