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Finding the Third Proportional to 4,130,268.75 and 8,946,859.50

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Solution

The third proportional to 4,130,268.75 and 8,946,859.50 is: 19,380,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130,268.75 : 8,946,859.50 = 8,946,859.50 : x
  2. Step 2: Convert to fraction form
    4,130,268.75/8,946,859.50 = 8,946,859.50/x
  3. Step 3: Cross multiply
    4,130,268.75x = 8,946,859.50 × 8,946,859.50
  4. Step 4: Simplify right side
    4,130,268.75x = 80,046,294,912,740.25
  5. Step 5: Solve for x
    x = 80,046,294,912,740.25/4,130,268.75
  6. Step 6: Final answer
    x = 19,380,408.34

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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.