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Finding the Third Proportional to 57,877,476.75 and 127,413,438.75

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Solution

The third proportional to 57,877,476.75 and 127,413,438.75 is: 280,492,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,877,476.75 : 127,413,438.75 = 127,413,438.75 : x
  2. Step 2: Convert to fraction form
    57,877,476.75/127,413,438.75 = 127,413,438.75/x
  3. Step 3: Cross multiply
    57,877,476.75x = 127,413,438.75 × 127,413,438.75
  4. Step 4: Simplify right side
    57,877,476.75x = 16,234,184,374,100,002
  5. Step 5: Solve for x
    x = 16,234,184,374,100,002/57,877,476.75
  6. Step 6: Final answer
    x = 280,492,262.03

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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.