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Finding the Third Proportional to 833,868,096 and 1,832,183,040

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Solution

The third proportional to 833,868,096 and 1,832,183,040 is: 4,025,690,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,868,096 : 1,832,183,040 = 1,832,183,040 : x
  2. Step 2: Convert to fraction form
    833,868,096/1,832,183,040 = 1,832,183,040/x
  3. Step 3: Cross multiply
    833,868,096x = 1,832,183,040 × 1,832,183,040
  4. Step 4: Simplify right side
    833,868,096x = 3,356,894,692,063,641,600
  5. Step 5: Solve for x
    x = 3,356,894,692,063,641,600/833,868,096
  6. Step 6: Final answer
    x = 4,025,690,283.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.