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Finding the Third Proportional to 802,629,546 and 1,763,097,051

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Solution

The third proportional to 802,629,546 and 1,763,097,051 is: 3,872,909,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,629,546 : 1,763,097,051 = 1,763,097,051 : x
  2. Step 2: Convert to fraction form
    802,629,546/1,763,097,051 = 1,763,097,051/x
  3. Step 3: Cross multiply
    802,629,546x = 1,763,097,051 × 1,763,097,051
  4. Step 4: Simplify right side
    802,629,546x = 3,108,511,211,244,896,768
  5. Step 5: Solve for x
    x = 3,108,511,211,244,896,768/802,629,546
  6. Step 6: Final answer
    x = 3,872,909,023.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.