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Finding the Third Proportional to 32,944,398,668.72 and 46,392,972,936.04

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Solution

The third proportional to 32,944,398,668.72 and 46,392,972,936.04 is: 65,331,529,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,944,398,668.72 : 46,392,972,936.04 = 46,392,972,936.04 : x
  2. Step 2: Convert to fraction form
    32,944,398,668.72/46,392,972,936.04 = 46,392,972,936.04/x
  3. Step 3: Cross multiply
    32,944,398,668.72x = 46,392,972,936.04 × 46,392,972,936.04
  4. Step 4: Simplify right side
    32,944,398,668.72x = 2,152,307,937,844,510,851,072
  5. Step 5: Solve for x
    x = 2,152,307,937,844,510,851,072/32,944,398,668.72
  6. Step 6: Final answer
    x = 65,331,529,025.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.