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Finding the Third Proportional to 51,040,670 and 112,001,570

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Solution

The third proportional to 51,040,670 and 112,001,570 is: 245,771,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,040,670 : 112,001,570 = 112,001,570 : x
  2. Step 2: Convert to fraction form
    51,040,670/112,001,570 = 112,001,570/x
  3. Step 3: Cross multiply
    51,040,670x = 112,001,570 × 112,001,570
  4. Step 4: Simplify right side
    51,040,670x = 12,544,351,682,464,900
  5. Step 5: Solve for x
    x = 12,544,351,682,464,900/51,040,670
  6. Step 6: Final answer
    x = 245,771,689.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.