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Finding the Third Proportional to 1,160,951,590 and 2,525,965,589

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Solution

The third proportional to 1,160,951,590 and 2,525,965,589 is: 5,495,924,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,951,590 : 2,525,965,589 = 2,525,965,589 : x
  2. Step 2: Convert to fraction form
    1,160,951,590/2,525,965,589 = 2,525,965,589/x
  3. Step 3: Cross multiply
    1,160,951,590x = 2,525,965,589 × 2,525,965,589
  4. Step 4: Simplify right side
    1,160,951,590x = 6,380,502,156,812,116,992
  5. Step 5: Solve for x
    x = 6,380,502,156,812,116,992/1,160,951,590
  6. Step 6: Final answer
    x = 5,495,924,388.04

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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.