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Finding the Third Proportional to 1,821,182,792 and 3,918,581,488

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Solution

The third proportional to 1,821,182,792 and 3,918,581,488 is: 8,431,488,011.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821,182,792 : 3,918,581,488 = 3,918,581,488 : x
  2. Step 2: Convert to fraction form
    1,821,182,792/3,918,581,488 = 3,918,581,488/x
  3. Step 3: Cross multiply
    1,821,182,792x = 3,918,581,488 × 3,918,581,488
  4. Step 4: Simplify right side
    1,821,182,792x = 15,355,280,878,096,293,888
  5. Step 5: Solve for x
    x = 15,355,280,878,096,293,888/1,821,182,792
  6. Step 6: Final answer
    x = 8,431,488,011.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.