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Finding the Third Proportional to 834,414,079 and 1,737,496,930

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Solution

The third proportional to 834,414,079 and 1,737,496,930 is: 3,617,982,555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,414,079 : 1,737,496,930 = 1,737,496,930 : x
  2. Step 2: Convert to fraction form
    834,414,079/1,737,496,930 = 1,737,496,930/x
  3. Step 3: Cross multiply
    834,414,079x = 1,737,496,930 × 1,737,496,930
  4. Step 4: Simplify right side
    834,414,079x = 3,018,895,581,759,425,024
  5. Step 5: Solve for x
    x = 3,018,895,581,759,425,024/834,414,079
  6. Step 6: Final answer
    x = 3,617,982,555.35

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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.