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Finding the Third Proportional to 382,075,792 and 818,640,874

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Solution

The third proportional to 382,075,792 and 818,640,874 is: 1,754,031,254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,075,792 : 818,640,874 = 818,640,874 : x
  2. Step 2: Convert to fraction form
    382,075,792/818,640,874 = 818,640,874/x
  3. Step 3: Cross multiply
    382,075,792x = 818,640,874 × 818,640,874
  4. Step 4: Simplify right side
    382,075,792x = 670,172,880,583,483,904
  5. Step 5: Solve for x
    x = 670,172,880,583,483,904/382,075,792
  6. Step 6: Final answer
    x = 1,754,031,254.05

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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.