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Finding the Third Proportional to 3,834,298.50 and 8,401,903.50

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Solution

The third proportional to 3,834,298.50 and 8,401,903.50 is: 18,410,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834,298.50 : 8,401,903.50 = 8,401,903.50 : x
  2. Step 2: Convert to fraction form
    3,834,298.50/8,401,903.50 = 8,401,903.50/x
  3. Step 3: Cross multiply
    3,834,298.50x = 8,401,903.50 × 8,401,903.50
  4. Step 4: Simplify right side
    3,834,298.50x = 70,591,982,423,312.25
  5. Step 5: Solve for x
    x = 70,591,982,423,312.25/3,834,298.50
  6. Step 6: Final answer
    x = 18,410,664.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.