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Finding the Third Proportional to 1,081,112,840 and 2,360,394,124

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Solution

The third proportional to 1,081,112,840 and 2,360,394,124 is: 5,153,449,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,112,840 : 2,360,394,124 = 2,360,394,124 : x
  2. Step 2: Convert to fraction form
    1,081,112,840/2,360,394,124 = 2,360,394,124/x
  3. Step 3: Cross multiply
    1,081,112,840x = 2,360,394,124 × 2,360,394,124
  4. Step 4: Simplify right side
    1,081,112,840x = 5,571,460,420,613,727,232
  5. Step 5: Solve for x
    x = 5,571,460,420,613,727,232/1,081,112,840
  6. Step 6: Final answer
    x = 5,153,449,496.18

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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.