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Finding the Third Proportional to 5,685,835.50 and 13,422,348

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Solution

The third proportional to 5,685,835.50 and 13,422,348 is: 31,685,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,835.50 : 13,422,348 = 13,422,348 : x
  2. Step 2: Convert to fraction form
    5,685,835.50/13,422,348 = 13,422,348/x
  3. Step 3: Cross multiply
    5,685,835.50x = 13,422,348 × 13,422,348
  4. Step 4: Simplify right side
    5,685,835.50x = 180,159,425,833,104
  5. Step 5: Solve for x
    x = 180,159,425,833,104/5,685,835.50
  6. Step 6: Final answer
    x = 31,685,655.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.