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Finding the Third Proportional to 74,824,956 and 160,789,032

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Solution

The third proportional to 74,824,956 and 160,789,032 is: 345,514,574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,824,956 : 160,789,032 = 160,789,032 : x
  2. Step 2: Convert to fraction form
    74,824,956/160,789,032 = 160,789,032/x
  3. Step 3: Cross multiply
    74,824,956x = 160,789,032 × 160,789,032
  4. Step 4: Simplify right side
    74,824,956x = 25,853,112,811,497,024
  5. Step 5: Solve for x
    x = 25,853,112,811,497,024/74,824,956
  6. Step 6: Final answer
    x = 345,514,574.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.