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Finding the Third Proportional to 2,708,178 and 5,902,116

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Solution

The third proportional to 2,708,178 and 5,902,116 is: 12,862,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,178 : 5,902,116 = 5,902,116 : x
  2. Step 2: Convert to fraction form
    2,708,178/5,902,116 = 5,902,116/x
  3. Step 3: Cross multiply
    2,708,178x = 5,902,116 × 5,902,116
  4. Step 4: Simplify right side
    2,708,178x = 34,834,973,277,456
  5. Step 5: Solve for x
    x = 34,834,973,277,456/2,708,178
  6. Step 6: Final answer
    x = 12,862,881.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.