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Finding the Third Proportional to 1,099,162,683 and 2,370,507,822

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Solution

The third proportional to 1,099,162,683 and 2,370,507,822 is: 5,112,352,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,162,683 : 2,370,507,822 = 2,370,507,822 : x
  2. Step 2: Convert to fraction form
    1,099,162,683/2,370,507,822 = 2,370,507,822/x
  3. Step 3: Cross multiply
    1,099,162,683x = 2,370,507,822 × 2,370,507,822
  4. Step 4: Simplify right side
    1,099,162,683x = 5,619,307,334,163,183,616
  5. Step 5: Solve for x
    x = 5,619,307,334,163,183,616/1,099,162,683
  6. Step 6: Final answer
    x = 5,112,352,721.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.