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Finding the Third Proportional to 897,866,174.25 and 2,097,820,518.75

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Solution

The third proportional to 897,866,174.25 and 2,097,820,518.75 is: 4,901,455,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,866,174.25 : 2,097,820,518.75 = 2,097,820,518.75 : x
  2. Step 2: Convert to fraction form
    897,866,174.25/2,097,820,518.75 = 2,097,820,518.75/x
  3. Step 3: Cross multiply
    897,866,174.25x = 2,097,820,518.75 × 2,097,820,518.75
  4. Step 4: Simplify right side
    897,866,174.25x = 4,400,850,928,888,519,168
  5. Step 5: Solve for x
    x = 4,400,850,928,888,519,168/897,866,174.25
  6. Step 6: Final answer
    x = 4,901,455,311.61

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.