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Finding the Third Proportional to 382,075,764.75 and 818,640,816.75

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Solution

The third proportional to 382,075,764.75 and 818,640,816.75 is: 1,754,031,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,075,764.75 : 818,640,816.75 = 818,640,816.75 : x
  2. Step 2: Convert to fraction form
    382,075,764.75/818,640,816.75 = 818,640,816.75/x
  3. Step 3: Cross multiply
    382,075,764.75x = 818,640,816.75 × 818,640,816.75
  4. Step 4: Simplify right side
    382,075,764.75x = 670,172,786,849,107,072
  5. Step 5: Solve for x
    x = 670,172,786,849,107,072/382,075,764.75
  6. Step 6: Final answer
    x = 1,754,031,133.82

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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.