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Finding the Third Proportional to 834,414,019.88 and 1,737,496,829.25

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Solution

The third proportional to 834,414,019.88 and 1,737,496,829.25 is: 3,617,982,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,414,019.88 : 1,737,496,829.25 = 1,737,496,829.25 : x
  2. Step 2: Convert to fraction form
    834,414,019.88/1,737,496,829.25 = 1,737,496,829.25/x
  3. Step 3: Cross multiply
    834,414,019.88x = 1,737,496,829.25 × 1,737,496,829.25
  4. Step 4: Simplify right side
    834,414,019.88x = 3,018,895,231,653,803,520
  5. Step 5: Solve for x
    x = 3,018,895,231,653,803,520/834,414,019.88
  6. Step 6: Final answer
    x = 3,617,982,392.13

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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.