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Finding the Third Proportional to 12,760,173 and 19,376,172

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Solution

The third proportional to 12,760,173 and 19,376,172 is: 29,422,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,760,173 : 19,376,172 = 19,376,172 : x
  2. Step 2: Convert to fraction form
    12,760,173/19,376,172 = 19,376,172/x
  3. Step 3: Cross multiply
    12,760,173x = 19,376,172 × 19,376,172
  4. Step 4: Simplify right side
    12,760,173x = 375,436,041,373,584
  5. Step 5: Solve for x
    x = 375,436,041,373,584/12,760,173
  6. Step 6: Final answer
    x = 29,422,488.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.