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Finding the Third Proportional to 381,263,136.50 and 822,992,449

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Solution

The third proportional to 381,263,136.50 and 822,992,449 is: 1,776,506,843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,263,136.50 : 822,992,449 = 822,992,449 : x
  2. Step 2: Convert to fraction form
    381,263,136.50/822,992,449 = 822,992,449/x
  3. Step 3: Cross multiply
    381,263,136.50x = 822,992,449 × 822,992,449
  4. Step 4: Simplify right side
    381,263,136.50x = 677,316,571,111,017,600
  5. Step 5: Solve for x
    x = 677,316,571,111,017,600/381,263,136.50
  6. Step 6: Final answer
    x = 1,776,506,843.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.