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Finding the Third Proportional to 312,173,186,774 and 496,728,908,456

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Solution

The third proportional to 312,173,186,774 and 496,728,908,456 is: 790,393,342,380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,173,186,774 : 496,728,908,456 = 496,728,908,456 : x
  2. Step 2: Convert to fraction form
    312,173,186,774/496,728,908,456 = 496,728,908,456/x
  3. Step 3: Cross multiply
    312,173,186,774x = 496,728,908,456 × 496,728,908,456
  4. Step 4: Simplify right side
    312,173,186,774x = 246,739,608,495,889,225,613,312
  5. Step 5: Solve for x
    x = 246,739,608,495,889,225,613,312/312,173,186,774
  6. Step 6: Final answer
    x = 790,393,342,380.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.