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Finding the Third Proportional to 1,081,112,842 and 2,360,394,128

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Solution

The third proportional to 1,081,112,842 and 2,360,394,128 is: 5,153,449,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,112,842 : 2,360,394,128 = 2,360,394,128 : x
  2. Step 2: Convert to fraction form
    1,081,112,842/2,360,394,128 = 2,360,394,128/x
  3. Step 3: Cross multiply
    1,081,112,842x = 2,360,394,128 × 2,360,394,128
  4. Step 4: Simplify right side
    1,081,112,842x = 5,571,460,439,496,880,128
  5. Step 5: Solve for x
    x = 5,571,460,439,496,880,128/1,081,112,842
  6. Step 6: Final answer
    x = 5,153,449,504.11

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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.