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Finding the Third Proportional to 683,223,576,318 and 1,422,997,152,840

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Solution

The third proportional to 683,223,576,318 and 1,422,997,152,840 is: 2,963,774,915,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,223,576,318 : 1,422,997,152,840 = 1,422,997,152,840 : x
  2. Step 2: Convert to fraction form
    683,223,576,318/1,422,997,152,840 = 1,422,997,152,840/x
  3. Step 3: Cross multiply
    683,223,576,318x = 1,422,997,152,840 × 1,422,997,152,840
  4. Step 4: Simplify right side
    683,223,576,318x = 2,024,920,896,990,746,293,305,344
  5. Step 5: Solve for x
    x = 2,024,920,896,990,746,293,305,344/683,223,576,318
  6. Step 6: Final answer
    x = 2,963,774,915,238.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.