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Finding the Third Proportional to 1,184,274,875 and 2,566,245,694

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Solution

The third proportional to 1,184,274,875 and 2,566,245,694 is: 5,560,885,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,274,875 : 2,566,245,694 = 2,566,245,694 : x
  2. Step 2: Convert to fraction form
    1,184,274,875/2,566,245,694 = 2,566,245,694/x
  3. Step 3: Cross multiply
    1,184,274,875x = 2,566,245,694 × 2,566,245,694
  4. Step 4: Simplify right side
    1,184,274,875x = 6,585,616,961,973,541,888
  5. Step 5: Solve for x
    x = 6,585,616,961,973,541,888/1,184,274,875
  6. Step 6: Final answer
    x = 5,560,885,484.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.