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Finding the Third Proportional to 862,145,905.50 and 1,887,510,505.50

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Solution

The third proportional to 862,145,905.50 and 1,887,510,505.50 is: 4,132,358,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,145,905.50 : 1,887,510,505.50 = 1,887,510,505.50 : x
  2. Step 2: Convert to fraction form
    862,145,905.50/1,887,510,505.50 = 1,887,510,505.50/x
  3. Step 3: Cross multiply
    862,145,905.50x = 1,887,510,505.50 × 1,887,510,505.50
  4. Step 4: Simplify right side
    862,145,905.50x = 3,562,695,908,372,865,536
  5. Step 5: Solve for x
    x = 3,562,695,908,372,865,536/862,145,905.50
  6. Step 6: Final answer
    x = 4,132,358,439.15

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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.