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Finding the Third Proportional to 4,130,085 and 8,858,017.50

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Solution

The third proportional to 4,130,085 and 8,858,017.50 is: 18,998,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,130,085 : 8,858,017.50 = 8,858,017.50 : x
  2. Step 2: Convert to fraction form
    4,130,085/8,858,017.50 = 8,858,017.50/x
  3. Step 3: Cross multiply
    4,130,085x = 8,858,017.50 × 8,858,017.50
  4. Step 4: Simplify right side
    4,130,085x = 78,464,474,030,306.25
  5. Step 5: Solve for x
    x = 78,464,474,030,306.25/4,130,085
  6. Step 6: Final answer
    x = 18,998,270.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.