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Finding the Third Proportional to 1,161,391,878 and 1,775,415,305

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Solution

The third proportional to 1,161,391,878 and 1,775,415,305 is: 2,714,070,560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161,391,878 : 1,775,415,305 = 1,775,415,305 : x
  2. Step 2: Convert to fraction form
    1,161,391,878/1,775,415,305 = 1,775,415,305/x
  3. Step 3: Cross multiply
    1,161,391,878x = 1,775,415,305 × 1,775,415,305
  4. Step 4: Simplify right side
    1,161,391,878x = 3,152,099,505,228,242,944
  5. Step 5: Solve for x
    x = 3,152,099,505,228,242,944/1,161,391,878
  6. Step 6: Final answer
    x = 2,714,070,560.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.