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Finding the Third Proportional to 51,931,686 and 112,481,124

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Solution

The third proportional to 51,931,686 and 112,481,124 is: 243,627,816.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,931,686 : 112,481,124 = 112,481,124 : x
  2. Step 2: Convert to fraction form
    51,931,686/112,481,124 = 112,481,124/x
  3. Step 3: Cross multiply
    51,931,686x = 112,481,124 × 112,481,124
  4. Step 4: Simplify right side
    51,931,686x = 12,652,003,256,303,376
  5. Step 5: Solve for x
    x = 12,652,003,256,303,376/51,931,686
  6. Step 6: Final answer
    x = 243,627,816.29

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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.