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Finding the Third Proportional to 3,656,742 and 7,875,408

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Solution

The third proportional to 3,656,742 and 7,875,408 is: 16,961,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656,742 : 7,875,408 = 7,875,408 : x
  2. Step 2: Convert to fraction form
    3,656,742/7,875,408 = 7,875,408/x
  3. Step 3: Cross multiply
    3,656,742x = 7,875,408 × 7,875,408
  4. Step 4: Simplify right side
    3,656,742x = 62,022,051,166,464
  5. Step 5: Solve for x
    x = 62,022,051,166,464/3,656,742
  6. Step 6: Final answer
    x = 16,961,013.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.