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Finding the Third Proportional to 6,104,342.25 and 9,447,709.50

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Solution

The third proportional to 6,104,342.25 and 9,447,709.50 is: 14,622,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104,342.25 : 9,447,709.50 = 9,447,709.50 : x
  2. Step 2: Convert to fraction form
    6,104,342.25/9,447,709.50 = 9,447,709.50/x
  3. Step 3: Cross multiply
    6,104,342.25x = 9,447,709.50 × 9,447,709.50
  4. Step 4: Simplify right side
    6,104,342.25x = 89,259,214,796,390.25
  5. Step 5: Solve for x
    x = 89,259,214,796,390.25/6,104,342.25
  6. Step 6: Final answer
    x = 14,622,249.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.