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Finding the Third Proportional to 74,731,751 and 105,192,914

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Solution

The third proportional to 74,731,751 and 105,192,914 is: 148,070,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,731,751 : 105,192,914 = 105,192,914 : x
  2. Step 2: Convert to fraction form
    74,731,751/105,192,914 = 105,192,914/x
  3. Step 3: Cross multiply
    74,731,751x = 105,192,914 × 105,192,914
  4. Step 4: Simplify right side
    74,731,751x = 11,065,549,155,811,396
  5. Step 5: Solve for x
    x = 11,065,549,155,811,396/74,731,751
  6. Step 6: Final answer
    x = 148,070,251.37

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.