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Finding the Third Proportional to 512,736,639,174 and 753,745,605,201

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Solution

The third proportional to 512,736,639,174 and 753,745,605,201 is: 1,108,039,476,708.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,736,639,174 : 753,745,605,201 = 753,745,605,201 : x
  2. Step 2: Convert to fraction form
    512,736,639,174/753,745,605,201 = 753,745,605,201/x
  3. Step 3: Cross multiply
    512,736,639,174x = 753,745,605,201 × 753,745,605,201
  4. Step 4: Simplify right side
    512,736,639,174x = 568,132,437,359,821,733,232,640
  5. Step 5: Solve for x
    x = 568,132,437,359,821,733,232,640/512,736,639,174
  6. Step 6: Final answer
    x = 1,108,039,476,708.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.