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Finding the Third Proportional to 51,836,799 and 111,366,319

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Solution

The third proportional to 51,836,799 and 111,366,319 is: 239,259,700.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,836,799 : 111,366,319 = 111,366,319 : x
  2. Step 2: Convert to fraction form
    51,836,799/111,366,319 = 111,366,319/x
  3. Step 3: Cross multiply
    51,836,799x = 111,366,319 × 111,366,319
  4. Step 4: Simplify right side
    51,836,799x = 12,402,457,007,609,760
  5. Step 5: Solve for x
    x = 12,402,457,007,609,760/51,836,799
  6. Step 6: Final answer
    x = 239,259,700.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.