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Finding the Third Proportional to 834,414,077 and 1,737,496,926

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Solution

The third proportional to 834,414,077 and 1,737,496,926 is: 3,617,982,547.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,414,077 : 1,737,496,926 = 1,737,496,926 : x
  2. Step 2: Convert to fraction form
    834,414,077/1,737,496,926 = 1,737,496,926/x
  3. Step 3: Cross multiply
    834,414,077x = 1,737,496,926 × 1,737,496,926
  4. Step 4: Simplify right side
    834,414,077x = 3,018,895,567,859,449,344
  5. Step 5: Solve for x
    x = 3,018,895,567,859,449,344/834,414,077
  6. Step 6: Final answer
    x = 3,617,982,547.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.