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Finding the Third Proportional to 1,019,576,183.50 and 1,574,403,920

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Solution

The third proportional to 1,019,576,183.50 and 1,574,403,920 is: 2,431,154,967.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019,576,183.50 : 1,574,403,920 = 1,574,403,920 : x
  2. Step 2: Convert to fraction form
    1,019,576,183.50/1,574,403,920 = 1,574,403,920/x
  3. Step 3: Cross multiply
    1,019,576,183.50x = 1,574,403,920 × 1,574,403,920
  4. Step 4: Simplify right side
    1,019,576,183.50x = 2,478,747,703,311,366,144
  5. Step 5: Solve for x
    x = 2,478,747,703,311,366,144/1,019,576,183.50
  6. Step 6: Final answer
    x = 2,431,154,967.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.