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Finding the Third Proportional to 833,868,098 and 1,832,183,044

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Solution

The third proportional to 833,868,098 and 1,832,183,044 is: 4,025,690,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,868,098 : 1,832,183,044 = 1,832,183,044 : x
  2. Step 2: Convert to fraction form
    833,868,098/1,832,183,044 = 1,832,183,044/x
  3. Step 3: Cross multiply
    833,868,098x = 1,832,183,044 × 1,832,183,044
  4. Step 4: Simplify right side
    833,868,098x = 3,356,894,706,721,105,920
  5. Step 5: Solve for x
    x = 3,356,894,706,721,105,920/833,868,098
  6. Step 6: Final answer
    x = 4,025,690,291.75

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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.