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Finding the Third Proportional to 6,923,784.38 and 16,027,307.93

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Solution

The third proportional to 6,923,784.38 and 16,027,307.93 is: 37,100,317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923,784.38 : 16,027,307.93 = 16,027,307.93 : x
  2. Step 2: Convert to fraction form
    6,923,784.38/16,027,307.93 = 16,027,307.93/x
  3. Step 3: Cross multiply
    6,923,784.38x = 16,027,307.93 × 16,027,307.93
  4. Step 4: Simplify right side
    6,923,784.38x = 256,874,599,473,039.81
  5. Step 5: Solve for x
    x = 256,874,599,473,039.81/6,923,784.38
  6. Step 6: Final answer
    x = 37,100,317.62

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.