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Finding the Third Proportional to 388,544,849 and 792,697,510

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Solution

The third proportional to 388,544,849 and 792,697,510 is: 1,617,237,608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,544,849 : 792,697,510 = 792,697,510 : x
  2. Step 2: Convert to fraction form
    388,544,849/792,697,510 = 792,697,510/x
  3. Step 3: Cross multiply
    388,544,849x = 792,697,510 × 792,697,510
  4. Step 4: Simplify right side
    388,544,849x = 628,369,342,360,200,064
  5. Step 5: Solve for x
    x = 628,369,342,360,200,064/388,544,849
  6. Step 6: Final answer
    x = 1,617,237,608.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.