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Finding the Third Proportional to 7,565,229 and 16,416,409.50

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Solution

The third proportional to 7,565,229 and 16,416,409.50 is: 35,623,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565,229 : 16,416,409.50 = 16,416,409.50 : x
  2. Step 2: Convert to fraction form
    7,565,229/16,416,409.50 = 16,416,409.50/x
  3. Step 3: Cross multiply
    7,565,229x = 16,416,409.50 × 16,416,409.50
  4. Step 4: Simplify right side
    7,565,229x = 269,498,500,871,690.25
  5. Step 5: Solve for x
    x = 269,498,500,871,690.25/7,565,229
  6. Step 6: Final answer
    x = 35,623,310.39

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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.