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Finding the Third Proportional to 1,053,593,609 and 2,269,010,962

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Solution

The third proportional to 1,053,593,609 and 2,269,010,962 is: 4,886,524,274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,593,609 : 2,269,010,962 = 2,269,010,962 : x
  2. Step 2: Convert to fraction form
    1,053,593,609/2,269,010,962 = 2,269,010,962/x
  3. Step 3: Cross multiply
    1,053,593,609x = 2,269,010,962 × 2,269,010,962
  4. Step 4: Simplify right side
    1,053,593,609x = 5,148,410,745,676,165,120
  5. Step 5: Solve for x
    x = 5,148,410,745,676,165,120/1,053,593,609
  6. Step 6: Final answer
    x = 4,886,524,274.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.