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Finding the Third Proportional to 1,099,162,694 and 2,370,507,842

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Solution

The third proportional to 1,099,162,694 and 2,370,507,842 is: 5,112,352,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,162,694 : 2,370,507,842 = 2,370,507,842 : x
  2. Step 2: Convert to fraction form
    1,099,162,694/2,370,507,842 = 2,370,507,842/x
  3. Step 3: Cross multiply
    1,099,162,694x = 2,370,507,842 × 2,370,507,842
  4. Step 4: Simplify right side
    1,099,162,694x = 5,619,307,428,983,496,704
  5. Step 5: Solve for x
    x = 5,619,307,428,983,496,704/1,099,162,694
  6. Step 6: Final answer
    x = 5,112,352,756.93

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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.