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Finding the Third Proportional to 6,835,312 and 16,135,397

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Solution

The third proportional to 6,835,312 and 16,135,397 is: 38,089,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835,312 : 16,135,397 = 16,135,397 : x
  2. Step 2: Convert to fraction form
    6,835,312/16,135,397 = 16,135,397/x
  3. Step 3: Cross multiply
    6,835,312x = 16,135,397 × 16,135,397
  4. Step 4: Simplify right side
    6,835,312x = 260,351,036,347,609
  5. Step 5: Solve for x
    x = 260,351,036,347,609/6,835,312
  6. Step 6: Final answer
    x = 38,089,122.54

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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.