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Finding the Third Proportional to 923,523,164 and 1,386,500,610

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Solution

The third proportional to 923,523,164 and 1,386,500,610 is: 2,081,576,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,523,164 : 1,386,500,610 = 1,386,500,610 : x
  2. Step 2: Convert to fraction form
    923,523,164/1,386,500,610 = 1,386,500,610/x
  3. Step 3: Cross multiply
    923,523,164x = 1,386,500,610 × 1,386,500,610
  4. Step 4: Simplify right side
    923,523,164x = 1,922,383,941,530,372,096
  5. Step 5: Solve for x
    x = 1,922,383,941,530,372,096/923,523,164
  6. Step 6: Final answer
    x = 2,081,576,311.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.