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Finding the Third Proportional to 1,937,970,698 and 4,251,105,939

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Solution

The third proportional to 1,937,970,698 and 4,251,105,939 is: 9,325,167,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937,970,698 : 4,251,105,939 = 4,251,105,939 : x
  2. Step 2: Convert to fraction form
    1,937,970,698/4,251,105,939 = 4,251,105,939/x
  3. Step 3: Cross multiply
    1,937,970,698x = 4,251,105,939 × 4,251,105,939
  4. Step 4: Simplify right side
    1,937,970,698x = 18,071,901,704,601,071,616
  5. Step 5: Solve for x
    x = 18,071,901,704,601,071,616/1,937,970,698
  6. Step 6: Final answer
    x = 9,325,167,673.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.