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Finding the Third Proportional to 33,384,069 and 70,354,890

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Solution

The third proportional to 33,384,069 and 70,354,890 is: 148,268,641.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,384,069 : 70,354,890 = 70,354,890 : x
  2. Step 2: Convert to fraction form
    33,384,069/70,354,890 = 70,354,890/x
  3. Step 3: Cross multiply
    33,384,069x = 70,354,890 × 70,354,890
  4. Step 4: Simplify right side
    33,384,069x = 4,949,810,546,912,100
  5. Step 5: Solve for x
    x = 4,949,810,546,912,100/33,384,069
  6. Step 6: Final answer
    x = 148,268,641.16

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.