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Finding the Third Proportional to 55,758,549 and 120,782,445

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Solution

The third proportional to 55,758,549 and 120,782,445 is: 261,635,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758,549 : 120,782,445 = 120,782,445 : x
  2. Step 2: Convert to fraction form
    55,758,549/120,782,445 = 120,782,445/x
  3. Step 3: Cross multiply
    55,758,549x = 120,782,445 × 120,782,445
  4. Step 4: Simplify right side
    55,758,549x = 14,588,399,020,178,024
  5. Step 5: Solve for x
    x = 14,588,399,020,178,024/55,758,549
  6. Step 6: Final answer
    x = 261,635,198.22

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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.