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Finding the Third Proportional to 122,727,079,940 and 286,745,835,494

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Solution

The third proportional to 122,727,079,940 and 286,745,835,494 is: 669,967,656,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,727,079,940 : 286,745,835,494 = 286,745,835,494 : x
  2. Step 2: Convert to fraction form
    122,727,079,940/286,745,835,494 = 286,745,835,494/x
  3. Step 3: Cross multiply
    122,727,079,940x = 286,745,835,494 × 286,745,835,494
  4. Step 4: Simplify right side
    122,727,079,940x = 82,223,174,173,152,105,201,664
  5. Step 5: Solve for x
    x = 82,223,174,173,152,105,201,664/122,727,079,940
  6. Step 6: Final answer
    x = 669,967,656,798.73

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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.