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Finding the Third Proportional to 13,877,152 and 20,342,352

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Solution

The third proportional to 13,877,152 and 20,342,352 is: 29,819,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877,152 : 20,342,352 = 20,342,352 : x
  2. Step 2: Convert to fraction form
    13,877,152/20,342,352 = 20,342,352/x
  3. Step 3: Cross multiply
    13,877,152x = 20,342,352 × 20,342,352
  4. Step 4: Simplify right side
    13,877,152x = 413,811,284,891,904
  5. Step 5: Solve for x
    x = 413,811,284,891,904/13,877,152
  6. Step 6: Final answer
    x = 29,819,611.75

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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.