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Finding the Third Proportional to 3,023,435,851 and 4,694,337,004

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Solution

The third proportional to 3,023,435,851 and 4,694,337,004 is: 7,288,661,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,435,851 : 4,694,337,004 = 4,694,337,004 : x
  2. Step 2: Convert to fraction form
    3,023,435,851/4,694,337,004 = 4,694,337,004/x
  3. Step 3: Cross multiply
    3,023,435,851x = 4,694,337,004 × 4,694,337,004
  4. Step 4: Simplify right side
    3,023,435,851x = 22,036,799,907,123,695,616
  5. Step 5: Solve for x
    x = 22,036,799,907,123,695,616/3,023,435,851
  6. Step 6: Final answer
    x = 7,288,661,308.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.