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Finding the Third Proportional to 51,098,525,256 and 111,829,871,400

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Solution

The third proportional to 51,098,525,256 and 111,829,871,400 is: 244,741,312,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,098,525,256 : 111,829,871,400 = 111,829,871,400 : x
  2. Step 2: Convert to fraction form
    51,098,525,256/111,829,871,400 = 111,829,871,400/x
  3. Step 3: Cross multiply
    51,098,525,256x = 111,829,871,400 × 111,829,871,400
  4. Step 4: Simplify right side
    51,098,525,256x = 12,505,920,137,340,538,322,944
  5. Step 5: Solve for x
    x = 12,505,920,137,340,538,322,944/51,098,525,256
  6. Step 6: Final answer
    x = 244,741,312,487.72

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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.