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Finding the Third Proportional to 49,563,978 and 107,365,428.75

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Solution

The third proportional to 49,563,978 and 107,365,428.75 is: 232,574,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563,978 : 107,365,428.75 = 107,365,428.75 : x
  2. Step 2: Convert to fraction form
    49,563,978/107,365,428.75 = 107,365,428.75/x
  3. Step 3: Cross multiply
    49,563,978x = 107,365,428.75 × 107,365,428.75
  4. Step 4: Simplify right side
    49,563,978x = 11,527,335,290,671,326
  5. Step 5: Solve for x
    x = 11,527,335,290,671,326/49,563,978
  6. Step 6: Final answer
    x = 232,574,860.93

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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.