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Finding the Third Proportional to 12,634,713 and 19,408,464

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Solution

The third proportional to 12,634,713 and 19,408,464 is: 29,813,773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634,713 : 19,408,464 = 19,408,464 : x
  2. Step 2: Convert to fraction form
    12,634,713/19,408,464 = 19,408,464/x
  3. Step 3: Cross multiply
    12,634,713x = 19,408,464 × 19,408,464
  4. Step 4: Simplify right side
    12,634,713x = 376,688,474,839,296
  5. Step 5: Solve for x
    x = 376,688,474,839,296/12,634,713
  6. Step 6: Final answer
    x = 29,813,773.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.