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Finding the Third Proportional to 122,727,079,944 and 286,745,835,504

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Solution

The third proportional to 122,727,079,944 and 286,745,835,504 is: 669,967,656,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,727,079,944 : 286,745,835,504 = 286,745,835,504 : x
  2. Step 2: Convert to fraction form
    122,727,079,944/286,745,835,504 = 286,745,835,504/x
  3. Step 3: Cross multiply
    122,727,079,944x = 286,745,835,504 × 286,745,835,504
  4. Step 4: Simplify right side
    122,727,079,944x = 82,223,174,178,887,027,392,512
  5. Step 5: Solve for x
    x = 82,223,174,178,887,027,392,512/122,727,079,944
  6. Step 6: Final answer
    x = 669,967,656,823.62

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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.