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Finding the Third Proportional to 1,160,951,577 and 2,525,965,563

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Solution

The third proportional to 1,160,951,577 and 2,525,965,563 is: 5,495,924,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,951,577 : 2,525,965,563 = 2,525,965,563 : x
  2. Step 2: Convert to fraction form
    1,160,951,577/2,525,965,563 = 2,525,965,563/x
  3. Step 3: Cross multiply
    1,160,951,577x = 2,525,965,563 × 2,525,965,563
  4. Step 4: Simplify right side
    1,160,951,577x = 6,380,502,025,461,907,456
  5. Step 5: Solve for x
    x = 6,380,502,025,461,907,456/1,160,951,577
  6. Step 6: Final answer
    x = 5,495,924,336.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.