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Finding the Third Proportional to 5,359,072.64 and 11,409,442.31

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Solution

The third proportional to 5,359,072.64 and 11,409,442.31 is: 24,290,652.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359,072.64 : 11,409,442.31 = 11,409,442.31 : x
  2. Step 2: Convert to fraction form
    5,359,072.64/11,409,442.31 = 11,409,442.31/x
  3. Step 3: Cross multiply
    5,359,072.64x = 11,409,442.31 × 11,409,442.31
  4. Step 4: Simplify right side
    5,359,072.64x = 130,175,373,882,265.34
  5. Step 5: Solve for x
    x = 130,175,373,882,265.34/5,359,072.64
  6. Step 6: Final answer
    x = 24,290,652.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.