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Finding the Third Proportional to 2,598,638,226 and 4,265,951,067

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Solution

The third proportional to 2,598,638,226 and 4,265,951,067 is: 7,003,028,864.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598,638,226 : 4,265,951,067 = 4,265,951,067 : x
  2. Step 2: Convert to fraction form
    2,598,638,226/4,265,951,067 = 4,265,951,067/x
  3. Step 3: Cross multiply
    2,598,638,226x = 4,265,951,067 × 4,265,951,067
  4. Step 4: Simplify right side
    2,598,638,226x = 18,198,338,506,038,437,888
  5. Step 5: Solve for x
    x = 18,198,338,506,038,437,888/2,598,638,226
  6. Step 6: Final answer
    x = 7,003,028,864.87

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.