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Finding the Third Proportional to 52,051,271 and 113,062,942

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Solution

The third proportional to 52,051,271 and 113,062,942 is: 245,589,177.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,051,271 : 113,062,942 = 113,062,942 : x
  2. Step 2: Convert to fraction form
    52,051,271/113,062,942 = 113,062,942/x
  3. Step 3: Cross multiply
    52,051,271x = 113,062,942 × 113,062,942
  4. Step 4: Simplify right side
    52,051,271x = 12,783,228,853,695,364
  5. Step 5: Solve for x
    x = 12,783,228,853,695,364/52,051,271
  6. Step 6: Final answer
    x = 245,589,177.90

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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.