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Finding the Third Proportional to 693,174,579 and 1,541,333,101

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Solution

The third proportional to 693,174,579 and 1,541,333,101 is: 3,427,286,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,174,579 : 1,541,333,101 = 1,541,333,101 : x
  2. Step 2: Convert to fraction form
    693,174,579/1,541,333,101 = 1,541,333,101/x
  3. Step 3: Cross multiply
    693,174,579x = 1,541,333,101 × 1,541,333,101
  4. Step 4: Simplify right side
    693,174,579x = 2,375,707,728,238,276,096
  5. Step 5: Solve for x
    x = 2,375,707,728,238,276,096/693,174,579
  6. Step 6: Final answer
    x = 3,427,286,285.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.