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Finding the Third Proportional to 10,297,584 and 13,985,451

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Solution

The third proportional to 10,297,584 and 13,985,451 is: 18,994,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297,584 : 13,985,451 = 13,985,451 : x
  2. Step 2: Convert to fraction form
    10,297,584/13,985,451 = 13,985,451/x
  3. Step 3: Cross multiply
    10,297,584x = 13,985,451 × 13,985,451
  4. Step 4: Simplify right side
    10,297,584x = 195,592,839,673,401
  5. Step 5: Solve for x
    x = 195,592,839,673,401/10,297,584
  6. Step 6: Final answer
    x = 18,994,051.39

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.