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Finding the Third Proportional to 45,487,513 and 107,380,586.50

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Solution

The third proportional to 45,487,513 and 107,380,586.50 is: 253,489,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,487,513 : 107,380,586.50 = 107,380,586.50 : x
  2. Step 2: Convert to fraction form
    45,487,513/107,380,586.50 = 107,380,586.50/x
  3. Step 3: Cross multiply
    45,487,513x = 107,380,586.50 × 107,380,586.50
  4. Step 4: Simplify right side
    45,487,513x = 11,530,590,357,083,982
  5. Step 5: Solve for x
    x = 11,530,590,357,083,982/45,487,513
  6. Step 6: Final answer
    x = 253,489,135.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.