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Finding the Third Proportional to 13,829,084 and 20,295,140

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Solution

The third proportional to 13,829,084 and 20,295,140 is: 29,784,525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829,084 : 20,295,140 = 20,295,140 : x
  2. Step 2: Convert to fraction form
    13,829,084/20,295,140 = 20,295,140/x
  3. Step 3: Cross multiply
    13,829,084x = 20,295,140 × 20,295,140
  4. Step 4: Simplify right side
    13,829,084x = 411,892,707,619,600
  5. Step 5: Solve for x
    x = 411,892,707,619,600/13,829,084
  6. Step 6: Final answer
    x = 29,784,525.69

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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.