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Finding the Third Proportional to 4,856,771 and 7,127,692.50

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Solution

The third proportional to 4,856,771 and 7,127,692.50 is: 10,460,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856,771 : 7,127,692.50 = 7,127,692.50 : x
  2. Step 2: Convert to fraction form
    4,856,771/7,127,692.50 = 7,127,692.50/x
  3. Step 3: Cross multiply
    4,856,771x = 7,127,692.50 × 7,127,692.50
  4. Step 4: Simplify right side
    4,856,771x = 50,804,000,374,556.25
  5. Step 5: Solve for x
    x = 50,804,000,374,556.25/4,856,771
  6. Step 6: Final answer
    x = 10,460,447.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.