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Finding the Third Proportional to 1,061,644,016.25 and 1,592,466,161.06

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Solution

The third proportional to 1,061,644,016.25 and 1,592,466,161.06 is: 2,388,699,446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061,644,016.25 : 1,592,466,161.06 = 1,592,466,161.06 : x
  2. Step 2: Convert to fraction form
    1,061,644,016.25/1,592,466,161.06 = 1,592,466,161.06/x
  3. Step 3: Cross multiply
    1,061,644,016.25x = 1,592,466,161.06 × 1,592,466,161.06
  4. Step 4: Simplify right side
    1,061,644,016.25x = 2,535,948,474,129,136,128
  5. Step 5: Solve for x
    x = 2,535,948,474,129,136,128/1,061,644,016.25
  6. Step 6: Final answer
    x = 2,388,699,446.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.