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Finding the Third Proportional to 465,319,242 and 1,008,186,405.75

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Solution

The third proportional to 465,319,242 and 1,008,186,405.75 is: 2,184,392,427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,319,242 : 1,008,186,405.75 = 1,008,186,405.75 : x
  2. Step 2: Convert to fraction form
    465,319,242/1,008,186,405.75 = 1,008,186,405.75/x
  3. Step 3: Cross multiply
    465,319,242x = 1,008,186,405.75 × 1,008,186,405.75
  4. Step 4: Simplify right side
    465,319,242x = 1,016,439,828,739,103,616
  5. Step 5: Solve for x
    x = 1,016,439,828,739,103,616/465,319,242
  6. Step 6: Final answer
    x = 2,184,392,427.81

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