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Finding the Third Proportional to 49,858,242.75 and 76,588,365.38

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Solution

The third proportional to 49,858,242.75 and 76,588,365.38 is: 117,649,106.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,858,242.75 : 76,588,365.38 = 76,588,365.38 : x
  2. Step 2: Convert to fraction form
    49,858,242.75/76,588,365.38 = 76,588,365.38/x
  3. Step 3: Cross multiply
    49,858,242.75x = 76,588,365.38 × 76,588,365.38
  4. Step 4: Simplify right side
    49,858,242.75x = 5,865,777,710,814,499
  5. Step 5: Solve for x
    x = 5,865,777,710,814,499/49,858,242.75
  6. Step 6: Final answer
    x = 117,649,106.49

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