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Finding the Third Proportional to 382,075,804 and 818,640,896

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Solution

The third proportional to 382,075,804 and 818,640,896 is: 1,754,031,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,075,804 : 818,640,896 = 818,640,896 : x
  2. Step 2: Convert to fraction form
    382,075,804/818,640,896 = 818,640,896/x
  3. Step 3: Cross multiply
    382,075,804x = 818,640,896 × 818,640,896
  4. Step 4: Simplify right side
    382,075,804x = 670,172,916,603,682,816
  5. Step 5: Solve for x
    x = 670,172,916,603,682,816/382,075,804
  6. Step 6: Final answer
    x = 1,754,031,293.23

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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.