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Finding the Third Proportional to 13,877,159 and 20,342,362

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Solution

The third proportional to 13,877,159 and 20,342,362 is: 29,819,626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,877,159 : 20,342,362 = 20,342,362 : x
  2. Step 2: Convert to fraction form
    13,877,159/20,342,362 = 20,342,362/x
  3. Step 3: Cross multiply
    13,877,159x = 20,342,362 × 20,342,362
  4. Step 4: Simplify right side
    13,877,159x = 413,811,691,739,044
  5. Step 5: Solve for x
    x = 413,811,691,739,044/13,877,159
  6. Step 6: Final answer
    x = 29,819,626.03

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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.