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Finding the Third Proportional to 3,287,123,169 and 7,039,689,096

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Solution

The third proportional to 3,287,123,169 and 7,039,689,096 is: 15,076,168,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287,123,169 : 7,039,689,096 = 7,039,689,096 : x
  2. Step 2: Convert to fraction form
    3,287,123,169/7,039,689,096 = 7,039,689,096/x
  3. Step 3: Cross multiply
    3,287,123,169x = 7,039,689,096 × 7,039,689,096
  4. Step 4: Simplify right side
    3,287,123,169x = 49,557,222,568,341,299,200
  5. Step 5: Solve for x
    x = 49,557,222,568,341,299,200/3,287,123,169
  6. Step 6: Final answer
    x = 15,076,168,436.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.