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Finding the Third Proportional to 1,378,100,863.50 and 3,024,047,235

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Solution

The third proportional to 1,378,100,863.50 and 3,024,047,235 is: 6,635,843,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378,100,863.50 : 3,024,047,235 = 3,024,047,235 : x
  2. Step 2: Convert to fraction form
    1,378,100,863.50/3,024,047,235 = 3,024,047,235/x
  3. Step 3: Cross multiply
    1,378,100,863.50x = 3,024,047,235 × 3,024,047,235
  4. Step 4: Simplify right side
    1,378,100,863.50x = 9,144,861,679,511,145,472
  5. Step 5: Solve for x
    x = 9,144,861,679,511,145,472/1,378,100,863.50
  6. Step 6: Final answer
    x = 6,635,843,516.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.