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Finding the Third Proportional to 496,630,599 and 1,053,774,027

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Solution

The third proportional to 496,630,599 and 1,053,774,027 is: 2,235,947,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,630,599 : 1,053,774,027 = 1,053,774,027 : x
  2. Step 2: Convert to fraction form
    496,630,599/1,053,774,027 = 1,053,774,027/x
  3. Step 3: Cross multiply
    496,630,599x = 1,053,774,027 × 1,053,774,027
  4. Step 4: Simplify right side
    496,630,599x = 1,110,439,699,979,796,736
  5. Step 5: Solve for x
    x = 1,110,439,699,979,796,736/496,630,599
  6. Step 6: Final answer
    x = 2,235,947,004.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.