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Finding the Third Proportional to 996,890,504 and 2,181,709,072

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Solution

The third proportional to 996,890,504 and 2,181,709,072 is: 4,774,701,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,890,504 : 2,181,709,072 = 2,181,709,072 : x
  2. Step 2: Convert to fraction form
    996,890,504/2,181,709,072 = 2,181,709,072/x
  3. Step 3: Cross multiply
    996,890,504x = 2,181,709,072 × 2,181,709,072
  4. Step 4: Simplify right side
    996,890,504x = 4,759,854,474,847,100,928
  5. Step 5: Solve for x
    x = 4,759,854,474,847,100,928/996,890,504
  6. Step 6: Final answer
    x = 4,774,701,389.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.