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Finding the Third Proportional to 1,705,469,399,080 and 3,792,257,413,910

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Solution

The third proportional to 1,705,469,399,080 and 3,792,257,413,910 is: 8,432,409,459,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,469,399,080 : 3,792,257,413,910 = 3,792,257,413,910 : x
  2. Step 2: Convert to fraction form
    1,705,469,399,080/3,792,257,413,910 = 3,792,257,413,910/x
  3. Step 3: Cross multiply
    1,705,469,399,080x = 3,792,257,413,910 × 3,792,257,413,910
  4. Step 4: Simplify right side
    1,705,469,399,080x = 14,381,216,293,355,361,472,086,016
  5. Step 5: Solve for x
    x = 14,381,216,293,355,361,472,086,016/1,705,469,399,080
  6. Step 6: Final answer
    x = 8,432,409,459,303.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.