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Finding the Third Proportional to 467,557,404 and 1,016,498,019

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Solution

The third proportional to 467,557,404 and 1,016,498,019 is: 2,209,928,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,557,404 : 1,016,498,019 = 1,016,498,019 : x
  2. Step 2: Convert to fraction form
    467,557,404/1,016,498,019 = 1,016,498,019/x
  3. Step 3: Cross multiply
    467,557,404x = 1,016,498,019 × 1,016,498,019
  4. Step 4: Simplify right side
    467,557,404x = 1,033,268,222,630,924,416
  5. Step 5: Solve for x
    x = 1,033,268,222,630,924,416/467,557,404
  6. Step 6: Final answer
    x = 2,209,928,051.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.