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Finding the Third Proportional to 122,727,079,932 and 286,745,835,474

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Solution

The third proportional to 122,727,079,932 and 286,745,835,474 is: 669,967,656,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,727,079,932 : 286,745,835,474 = 286,745,835,474 : x
  2. Step 2: Convert to fraction form
    122,727,079,932/286,745,835,474 = 286,745,835,474/x
  3. Step 3: Cross multiply
    122,727,079,932x = 286,745,835,474 × 286,745,835,474
  4. Step 4: Simplify right side
    122,727,079,932x = 82,223,174,161,682,277,597,184
  5. Step 5: Solve for x
    x = 82,223,174,161,682,277,597,184/122,727,079,932
  6. Step 6: Final answer
    x = 669,967,656,748.94

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.