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Finding the Third Proportional to 526,378,142 and 1,140,530,848

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Solution

The third proportional to 526,378,142 and 1,140,530,848 is: 2,471,247,400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,378,142 : 1,140,530,848 = 1,140,530,848 : x
  2. Step 2: Convert to fraction form
    526,378,142/1,140,530,848 = 1,140,530,848/x
  3. Step 3: Cross multiply
    526,378,142x = 1,140,530,848 × 1,140,530,848
  4. Step 4: Simplify right side
    526,378,142x = 1,300,810,615,239,599,104
  5. Step 5: Solve for x
    x = 1,300,810,615,239,599,104/526,378,142
  6. Step 6: Final answer
    x = 2,471,247,400.77

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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.