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Finding the Third Proportional to 31,179,897 and 48,980,173.50

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Solution

The third proportional to 31,179,897 and 48,980,173.50 is: 76,942,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179,897 : 48,980,173.50 = 48,980,173.50 : x
  2. Step 2: Convert to fraction form
    31,179,897/48,980,173.50 = 48,980,173.50/x
  3. Step 3: Cross multiply
    31,179,897x = 48,980,173.50 × 48,980,173.50
  4. Step 4: Simplify right side
    31,179,897x = 2,399,057,396,090,102
  5. Step 5: Solve for x
    x = 2,399,057,396,090,102/31,179,897
  6. Step 6: Final answer
    x = 76,942,441.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.