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Finding the Third Proportional to 667,774,396.50 and 890,264,794.50

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Solution

The third proportional to 667,774,396.50 and 890,264,794.50 is: 1,186,884,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,774,396.50 : 890,264,794.50 = 890,264,794.50 : x
  2. Step 2: Convert to fraction form
    667,774,396.50/890,264,794.50 = 890,264,794.50/x
  3. Step 3: Cross multiply
    667,774,396.50x = 890,264,794.50 × 890,264,794.50
  4. Step 4: Simplify right side
    667,774,396.50x = 792,571,404,326,127,232
  5. Step 5: Solve for x
    x = 792,571,404,326,127,232/667,774,396.50
  6. Step 6: Final answer
    x = 1,186,884,984.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.