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Finding the Third Proportional to 55,758,564 and 120,782,472.75

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Solution

The third proportional to 55,758,564 and 120,782,472.75 is: 261,635,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758,564 : 120,782,472.75 = 120,782,472.75 : x
  2. Step 2: Convert to fraction form
    55,758,564/120,782,472.75 = 120,782,472.75/x
  3. Step 3: Cross multiply
    55,758,564x = 120,782,472.75 × 120,782,472.75
  4. Step 4: Simplify right side
    55,758,564x = 14,588,405,723,604,492
  5. Step 5: Solve for x
    x = 14,588,405,723,604,492/55,758,564
  6. Step 6: Final answer
    x = 261,635,248.06

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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.