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Finding the Third Proportional to 1,433,462,598 and 3,379,069,896.75

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Solution

The third proportional to 1,433,462,598 and 3,379,069,896.75 is: 7,965,407,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433,462,598 : 3,379,069,896.75 = 3,379,069,896.75 : x
  2. Step 2: Convert to fraction form
    1,433,462,598/3,379,069,896.75 = 3,379,069,896.75/x
  3. Step 3: Cross multiply
    1,433,462,598x = 3,379,069,896.75 × 3,379,069,896.75
  4. Step 4: Simplify right side
    1,433,462,598x = 11,418,113,367,122,055,168
  5. Step 5: Solve for x
    x = 11,418,113,367,122,055,168/1,433,462,598
  6. Step 6: Final answer
    x = 7,965,407,247.49

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.