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Finding the Third Proportional to 1,289,288,571.75 and 2,762,389,023.75

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Solution

The third proportional to 1,289,288,571.75 and 2,762,389,023.75 is: 5,918,607,583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,288,571.75 : 2,762,389,023.75 = 2,762,389,023.75 : x
  2. Step 2: Convert to fraction form
    1,289,288,571.75/2,762,389,023.75 = 2,762,389,023.75/x
  3. Step 3: Cross multiply
    1,289,288,571.75x = 2,762,389,023.75 × 2,762,389,023.75
  4. Step 4: Simplify right side
    1,289,288,571.75x = 7,630,793,118,534,477,824
  5. Step 5: Solve for x
    x = 7,630,793,118,534,477,824/1,289,288,571.75
  6. Step 6: Final answer
    x = 5,918,607,583.85

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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.