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Finding the Third Proportional to 1,795,732,371 and 4,195,641,090

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Solution

The third proportional to 1,795,732,371 and 4,195,641,090 is: 9,802,910,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795,732,371 : 4,195,641,090 = 4,195,641,090 : x
  2. Step 2: Convert to fraction form
    1,795,732,371/4,195,641,090 = 4,195,641,090/x
  3. Step 3: Cross multiply
    1,795,732,371x = 4,195,641,090 × 4,195,641,090
  4. Step 4: Simplify right side
    1,795,732,371x = 17,603,404,156,096,389,120
  5. Step 5: Solve for x
    x = 17,603,404,156,096,389,120/1,795,732,371
  6. Step 6: Final answer
    x = 9,802,910,745.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.