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Finding the Third Proportional to 3,511,587,769 and 5,073,637,886

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Solution

The third proportional to 3,511,587,769 and 5,073,637,886 is: 7,330,530,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511,587,769 : 5,073,637,886 = 5,073,637,886 : x
  2. Step 2: Convert to fraction form
    3,511,587,769/5,073,637,886 = 5,073,637,886/x
  3. Step 3: Cross multiply
    3,511,587,769x = 5,073,637,886 × 5,073,637,886
  4. Step 4: Simplify right side
    3,511,587,769x = 25,741,801,398,254,551,040
  5. Step 5: Solve for x
    x = 25,741,801,398,254,551,040/3,511,587,769
  6. Step 6: Final answer
    x = 7,330,530,543.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.