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Finding the Third Proportional to 7,494,657 and 15,578,094

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Solution

The third proportional to 7,494,657 and 15,578,094 is: 32,380,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494,657 : 15,578,094 = 15,578,094 : x
  2. Step 2: Convert to fraction form
    7,494,657/15,578,094 = 15,578,094/x
  3. Step 3: Cross multiply
    7,494,657x = 15,578,094 × 15,578,094
  4. Step 4: Simplify right side
    7,494,657x = 242,677,012,672,836
  5. Step 5: Solve for x
    x = 242,677,012,672,836/7,494,657
  6. Step 6: Final answer
    x = 32,380,002.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.