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Finding the Third Proportional to 49,858,224 and 76,588,331

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Solution

The third proportional to 49,858,224 and 76,588,331 is: 117,649,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,858,224 : 76,588,331 = 76,588,331 : x
  2. Step 2: Convert to fraction form
    49,858,224/76,588,331 = 76,588,331/x
  3. Step 3: Cross multiply
    49,858,224x = 76,588,331 × 76,588,331
  4. Step 4: Simplify right side
    49,858,224x = 5,865,772,445,365,561
  5. Step 5: Solve for x
    x = 5,865,772,445,365,561/49,858,224
  6. Step 6: Final answer
    x = 117,649,045.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.