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Finding the Third Proportional to 5,739,752 and 12,599,120

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Solution

The third proportional to 5,739,752 and 12,599,120 is: 27,655,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739,752 : 12,599,120 = 12,599,120 : x
  2. Step 2: Convert to fraction form
    5,739,752/12,599,120 = 12,599,120/x
  3. Step 3: Cross multiply
    5,739,752x = 12,599,120 × 12,599,120
  4. Step 4: Simplify right side
    5,739,752x = 158,737,824,774,400
  5. Step 5: Solve for x
    x = 158,737,824,774,400/5,739,752
  6. Step 6: Final answer
    x = 27,655,868.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.