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Finding the Third Proportional to 3,656,085 and 7,922,343

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Solution

The third proportional to 3,656,085 and 7,922,343 is: 17,166,865.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656,085 : 7,922,343 = 7,922,343 : x
  2. Step 2: Convert to fraction form
    3,656,085/7,922,343 = 7,922,343/x
  3. Step 3: Cross multiply
    3,656,085x = 7,922,343 × 7,922,343
  4. Step 4: Simplify right side
    3,656,085x = 62,763,518,609,649
  5. Step 5: Solve for x
    x = 62,763,518,609,649/3,656,085
  6. Step 6: Final answer
    x = 17,166,865.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.