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Finding the Third Proportional to 1,996,509,033 and 4,308,694,021

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Solution

The third proportional to 1,996,509,033 and 4,308,694,021 is: 9,298,652,728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,509,033 : 4,308,694,021 = 4,308,694,021 : x
  2. Step 2: Convert to fraction form
    1,996,509,033/4,308,694,021 = 4,308,694,021/x
  3. Step 3: Cross multiply
    1,996,509,033x = 4,308,694,021 × 4,308,694,021
  4. Step 4: Simplify right side
    1,996,509,033x = 18,564,844,166,601,150,464
  5. Step 5: Solve for x
    x = 18,564,844,166,601,150,464/1,996,509,033
  6. Step 6: Final answer
    x = 9,298,652,728.21

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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.