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Finding the Third Proportional to 7,689,226 and 16,372,322

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Solution

The third proportional to 7,689,226 and 16,372,322 is: 34,860,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689,226 : 16,372,322 = 16,372,322 : x
  2. Step 2: Convert to fraction form
    7,689,226/16,372,322 = 16,372,322/x
  3. Step 3: Cross multiply
    7,689,226x = 16,372,322 × 16,372,322
  4. Step 4: Simplify right side
    7,689,226x = 268,052,927,671,684
  5. Step 5: Solve for x
    x = 268,052,927,671,684/7,689,226
  6. Step 6: Final answer
    x = 34,860,846.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.