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Finding the Third Proportional to 4,665,100.50 and 7,302,199.50

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Solution

The third proportional to 4,665,100.50 and 7,302,199.50 is: 11,430,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665,100.50 : 7,302,199.50 = 7,302,199.50 : x
  2. Step 2: Convert to fraction form
    4,665,100.50/7,302,199.50 = 7,302,199.50/x
  3. Step 3: Cross multiply
    4,665,100.50x = 7,302,199.50 × 7,302,199.50
  4. Step 4: Simplify right side
    4,665,100.50x = 53,322,117,537,800.25
  5. Step 5: Solve for x
    x = 53,322,117,537,800.25/4,665,100.50
  6. Step 6: Final answer
    x = 11,430,004.03

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.