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Finding the Third Proportional to 7,529,548 and 11,634,414

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Solution

The third proportional to 7,529,548 and 11,634,414 is: 17,977,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,529,548 : 11,634,414 = 11,634,414 : x
  2. Step 2: Convert to fraction form
    7,529,548/11,634,414 = 11,634,414/x
  3. Step 3: Cross multiply
    7,529,548x = 11,634,414 × 11,634,414
  4. Step 4: Simplify right side
    7,529,548x = 135,359,589,123,396
  5. Step 5: Solve for x
    x = 135,359,589,123,396/7,529,548
  6. Step 6: Final answer
    x = 17,977,120.16

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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.