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Finding the Third Proportional to 1,096,162,569 and 2,586,747,505.50

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Solution

The third proportional to 1,096,162,569 and 2,586,747,505.50 is: 6,104,261,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,162,569 : 2,586,747,505.50 = 2,586,747,505.50 : x
  2. Step 2: Convert to fraction form
    1,096,162,569/2,586,747,505.50 = 2,586,747,505.50/x
  3. Step 3: Cross multiply
    1,096,162,569x = 2,586,747,505.50 × 2,586,747,505.50
  4. Step 4: Simplify right side
    1,096,162,569x = 6,691,262,657,210,472,448
  5. Step 5: Solve for x
    x = 6,691,262,657,210,472,448/1,096,162,569
  6. Step 6: Final answer
    x = 6,104,261,216.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.