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Finding the Third Proportional to 382,075,800 and 818,640,888

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Solution

The third proportional to 382,075,800 and 818,640,888 is: 1,754,031,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,075,800 : 818,640,888 = 818,640,888 : x
  2. Step 2: Convert to fraction form
    382,075,800/818,640,888 = 818,640,888/x
  3. Step 3: Cross multiply
    382,075,800x = 818,640,888 × 818,640,888
  4. Step 4: Simplify right side
    382,075,800x = 670,172,903,505,428,480
  5. Step 5: Solve for x
    x = 670,172,903,505,428,480/382,075,800
  6. Step 6: Final answer
    x = 1,754,031,277.32

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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.