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Finding the Third Proportional to 75,227,914 and 103,947,886

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Solution

The third proportional to 75,227,914 and 103,947,886 is: 143,632,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,227,914 : 103,947,886 = 103,947,886 : x
  2. Step 2: Convert to fraction form
    75,227,914/103,947,886 = 103,947,886/x
  3. Step 3: Cross multiply
    75,227,914x = 103,947,886 × 103,947,886
  4. Step 4: Simplify right side
    75,227,914x = 10,805,163,003,868,996
  5. Step 5: Solve for x
    x = 10,805,163,003,868,996/75,227,914
  6. Step 6: Final answer
    x = 143,632,362.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.