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Finding the Third Proportional to 283,153,125 and 667,470,642

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Solution

The third proportional to 283,153,125 and 667,470,642 is: 1,573,413,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,153,125 : 667,470,642 = 667,470,642 : x
  2. Step 2: Convert to fraction form
    283,153,125/667,470,642 = 667,470,642/x
  3. Step 3: Cross multiply
    283,153,125x = 667,470,642 × 667,470,642
  4. Step 4: Simplify right side
    283,153,125x = 445,517,057,931,892,160
  5. Step 5: Solve for x
    x = 445,517,057,931,892,160/283,153,125
  6. Step 6: Final answer
    x = 1,573,413,883.15

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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.