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Finding the Third Proportional to 5,430,720.38 and 8,201,440.13

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Solution

The third proportional to 5,430,720.38 and 8,201,440.13 is: 12,385,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430,720.38 : 8,201,440.13 = 8,201,440.13 : x
  2. Step 2: Convert to fraction form
    5,430,720.38/8,201,440.13 = 8,201,440.13/x
  3. Step 3: Cross multiply
    5,430,720.38x = 8,201,440.13 × 8,201,440.13
  4. Step 4: Simplify right side
    5,430,720.38x = 67,263,620,123,960.02
  5. Step 5: Solve for x
    x = 67,263,620,123,960.02/5,430,720.38
  6. Step 6: Final answer
    x = 12,385,763.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.