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Finding the Third Proportional to 7,696,408.54 and 16,732,457.09

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Solution

The third proportional to 7,696,408.54 and 16,732,457.09 is: 36,377,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696,408.54 : 16,732,457.09 = 16,732,457.09 : x
  2. Step 2: Convert to fraction form
    7,696,408.54/16,732,457.09 = 16,732,457.09/x
  3. Step 3: Cross multiply
    7,696,408.54x = 16,732,457.09 × 16,732,457.09
  4. Step 4: Simplify right side
    7,696,408.54x = 279,975,120,132,756.75
  5. Step 5: Solve for x
    x = 279,975,120,132,756.75/7,696,408.54
  6. Step 6: Final answer
    x = 36,377,372.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.