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Finding the Third Proportional to 3,009,223,224 and 4,647,993,300

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Solution

The third proportional to 3,009,223,224 and 4,647,993,300 is: 7,179,208,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009,223,224 : 4,647,993,300 = 4,647,993,300 : x
  2. Step 2: Convert to fraction form
    3,009,223,224/4,647,993,300 = 4,647,993,300/x
  3. Step 3: Cross multiply
    3,009,223,224x = 4,647,993,300 × 4,647,993,300
  4. Step 4: Simplify right side
    3,009,223,224x = 21,603,841,716,844,888,064
  5. Step 5: Solve for x
    x = 21,603,841,716,844,888,064/3,009,223,224
  6. Step 6: Final answer
    x = 7,179,208,755.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.