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Finding the Third Proportional to 283,153,698 and 667,471,873.50

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Solution

The third proportional to 283,153,698 and 667,471,873.50 is: 1,573,416,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,153,698 : 667,471,873.50 = 667,471,873.50 : x
  2. Step 2: Convert to fraction form
    283,153,698/667,471,873.50 = 667,471,873.50/x
  3. Step 3: Cross multiply
    283,153,698x = 667,471,873.50 × 667,471,873.50
  4. Step 4: Simplify right side
    283,153,698x = 445,518,701,913,600,000
  5. Step 5: Solve for x
    x = 445,518,701,913,600,000/283,153,698
  6. Step 6: Final answer
    x = 1,573,416,505.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.