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Finding the Third Proportional to 1,081,112,998 and 2,360,394,438

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Solution

The third proportional to 1,081,112,998 and 2,360,394,438 is: 5,153,450,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081,112,998 : 2,360,394,438 = 2,360,394,438 : x
  2. Step 2: Convert to fraction form
    1,081,112,998/2,360,394,438 = 2,360,394,438/x
  3. Step 3: Cross multiply
    1,081,112,998x = 2,360,394,438 × 2,360,394,438
  4. Step 4: Simplify right side
    1,081,112,998x = 5,571,461,902,941,335,552
  5. Step 5: Solve for x
    x = 5,571,461,902,941,335,552/1,081,112,998
  6. Step 6: Final answer
    x = 5,153,450,114.14

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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.