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Finding the Third Proportional to 902,123,653.50 and 1,435,470,990.75

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Solution

The third proportional to 902,123,653.50 and 1,435,470,990.75 is: 2,284,140,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,123,653.50 : 1,435,470,990.75 = 1,435,470,990.75 : x
  2. Step 2: Convert to fraction form
    902,123,653.50/1,435,470,990.75 = 1,435,470,990.75/x
  3. Step 3: Cross multiply
    902,123,653.50x = 1,435,470,990.75 × 1,435,470,990.75
  4. Step 4: Simplify right side
    902,123,653.50x = 2,060,576,965,284,786,688
  5. Step 5: Solve for x
    x = 2,060,576,965,284,786,688/902,123,653.50
  6. Step 6: Final answer
    x = 2,284,140,269.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.