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Finding the Third Proportional to 400,580,236.50 and 854,071,653

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Solution

The third proportional to 400,580,236.50 and 854,071,653 is: 1,820,954,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,580,236.50 : 854,071,653 = 854,071,653 : x
  2. Step 2: Convert to fraction form
    400,580,236.50/854,071,653 = 854,071,653/x
  3. Step 3: Cross multiply
    400,580,236.50x = 854,071,653 × 854,071,653
  4. Step 4: Simplify right side
    400,580,236.50x = 729,438,388,458,152,448
  5. Step 5: Solve for x
    x = 729,438,388,458,152,448/400,580,236.50
  6. Step 6: Final answer
    x = 1,820,954,510.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.