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Finding the Third Proportional to 7,529,598 and 11,634,477

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Solution

The third proportional to 7,529,598 and 11,634,477 is: 17,977,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529,598 : 11,634,477 = 11,634,477 : x
  2. Step 2: Convert to fraction form
    7,529,598/11,634,477 = 11,634,477/x
  3. Step 3: Cross multiply
    7,529,598x = 11,634,477 × 11,634,477
  4. Step 4: Simplify right side
    7,529,598x = 135,361,055,063,529
  5. Step 5: Solve for x
    x = 135,361,055,063,529/7,529,598
  6. Step 6: Final answer
    x = 17,977,195.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.