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Finding the Third Proportional to 1,996,509,029 and 4,308,694,013

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Solution

The third proportional to 1,996,509,029 and 4,308,694,013 is: 9,298,652,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,509,029 : 4,308,694,013 = 4,308,694,013 : x
  2. Step 2: Convert to fraction form
    1,996,509,029/4,308,694,013 = 4,308,694,013/x
  3. Step 3: Cross multiply
    1,996,509,029x = 4,308,694,013 × 4,308,694,013
  4. Step 4: Simplify right side
    1,996,509,029x = 18,564,844,097,662,046,208
  5. Step 5: Solve for x
    x = 18,564,844,097,662,046,208/1,996,509,029
  6. Step 6: Final answer
    x = 9,298,652,712.31

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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.