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Finding the Third Proportional to 1,656,601,919 and 3,680,945,863

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Solution

The third proportional to 1,656,601,919 and 3,680,945,863 is: 8,179,009,266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656,601,919 : 3,680,945,863 = 3,680,945,863 : x
  2. Step 2: Convert to fraction form
    1,656,601,919/3,680,945,863 = 3,680,945,863/x
  3. Step 3: Cross multiply
    1,656,601,919x = 3,680,945,863 × 3,680,945,863
  4. Step 4: Simplify right side
    1,656,601,919x = 13,549,362,446,336,815,104
  5. Step 5: Solve for x
    x = 13,549,362,446,336,815,104/1,656,601,919
  6. Step 6: Final answer
    x = 8,179,009,266.46

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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.