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Finding the Third Proportional to 51,098,525,244 and 111,829,871,376

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Solution

The third proportional to 51,098,525,244 and 111,829,871,376 is: 244,741,312,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,098,525,244 : 111,829,871,376 = 111,829,871,376 : x
  2. Step 2: Convert to fraction form
    51,098,525,244/111,829,871,376 = 111,829,871,376/x
  3. Step 3: Cross multiply
    51,098,525,244x = 111,829,871,376 × 111,829,871,376
  4. Step 4: Simplify right side
    51,098,525,244x = 12,505,920,131,972,703,715,328
  5. Step 5: Solve for x
    x = 12,505,920,131,972,703,715,328/51,098,525,244
  6. Step 6: Final answer
    x = 244,741,312,440.15

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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.