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Finding the Third Proportional to 5,143,128.38 and 7,005,181.13

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Solution

The third proportional to 5,143,128.38 and 7,005,181.13 is: 9,541,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143,128.38 : 7,005,181.13 = 7,005,181.13 : x
  2. Step 2: Convert to fraction form
    5,143,128.38/7,005,181.13 = 7,005,181.13/x
  3. Step 3: Cross multiply
    5,143,128.38x = 7,005,181.13 × 7,005,181.13
  4. Step 4: Simplify right side
    5,143,128.38x = 49,072,562,594,056.27
  5. Step 5: Solve for x
    x = 49,072,562,594,056.27/5,143,128.38
  6. Step 6: Final answer
    x = 9,541,383.96

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.