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Finding the Third Proportional to 1,081,112,991 and 2,360,394,426

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Solution

The third proportional to 1,081,112,991 and 2,360,394,426 is: 5,153,450,095.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,112,991 : 2,360,394,426 = 2,360,394,426 : x
  2. Step 2: Convert to fraction form
    1,081,112,991/2,360,394,426 = 2,360,394,426/x
  3. Step 3: Cross multiply
    1,081,112,991x = 2,360,394,426 × 2,360,394,426
  4. Step 4: Simplify right side
    1,081,112,991x = 5,571,461,846,291,869,696
  5. Step 5: Solve for x
    x = 5,571,461,846,291,869,696/1,081,112,991
  6. Step 6: Final answer
    x = 5,153,450,095.11

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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.