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Finding the Third Proportional to 4,259,313 and 9,237,271.50

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Solution

The third proportional to 4,259,313 and 9,237,271.50 is: 20,033,086.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259,313 : 9,237,271.50 = 9,237,271.50 : x
  2. Step 2: Convert to fraction form
    4,259,313/9,237,271.50 = 9,237,271.50/x
  3. Step 3: Cross multiply
    4,259,313x = 9,237,271.50 × 9,237,271.50
  4. Step 4: Simplify right side
    4,259,313x = 85,327,184,764,712.25
  5. Step 5: Solve for x
    x = 85,327,184,764,712.25/4,259,313
  6. Step 6: Final answer
    x = 20,033,086.27

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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.