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Finding the Third Proportional to 55,763,566 and 120,791,264

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Solution

The third proportional to 55,763,566 and 120,791,264 is: 261,649,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,763,566 : 120,791,264 = 120,791,264 : x
  2. Step 2: Convert to fraction form
    55,763,566/120,791,264 = 120,791,264/x
  3. Step 3: Cross multiply
    55,763,566x = 120,791,264 × 120,791,264
  4. Step 4: Simplify right side
    55,763,566x = 14,590,529,458,717,696
  5. Step 5: Solve for x
    x = 14,590,529,458,717,696/55,763,566
  6. Step 6: Final answer
    x = 261,649,863.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.