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Finding the Third Proportional to 1,099,162,692 and 2,370,507,838

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Solution

The third proportional to 1,099,162,692 and 2,370,507,838 is: 5,112,352,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,162,692 : 2,370,507,838 = 2,370,507,838 : x
  2. Step 2: Convert to fraction form
    1,099,162,692/2,370,507,838 = 2,370,507,838/x
  3. Step 3: Cross multiply
    1,099,162,692x = 2,370,507,838 × 2,370,507,838
  4. Step 4: Simplify right side
    1,099,162,692x = 5,619,307,410,019,434,496
  5. Step 5: Solve for x
    x = 5,619,307,410,019,434,496/1,099,162,692
  6. Step 6: Final answer
    x = 5,112,352,748.98

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