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Finding the Third Proportional to 531,744,324.75 and 854,365,141.13

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Solution

The third proportional to 531,744,324.75 and 854,365,141.13 is: 1,372,727,005.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,744,324.75 : 854,365,141.13 = 854,365,141.13 : x
  2. Step 2: Convert to fraction form
    531,744,324.75/854,365,141.13 = 854,365,141.13/x
  3. Step 3: Cross multiply
    531,744,324.75x = 854,365,141.13 × 854,365,141.13
  4. Step 4: Simplify right side
    531,744,324.75x = 729,939,794,369,541,120
  5. Step 5: Solve for x
    x = 729,939,794,369,541,120/531,744,324.75
  6. Step 6: Final answer
    x = 1,372,727,005.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.