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Finding the Third Proportional to 293,469,814.13 and 632,904,490.69

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Solution

The third proportional to 293,469,814.13 and 632,904,490.69 is: 1,364,937,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,469,814.13 : 632,904,490.69 = 632,904,490.69 : x
  2. Step 2: Convert to fraction form
    293,469,814.13/632,904,490.69 = 632,904,490.69/x
  3. Step 3: Cross multiply
    293,469,814.13x = 632,904,490.69 × 632,904,490.69
  4. Step 4: Simplify right side
    293,469,814.13x = 400,568,094,332,403,776
  5. Step 5: Solve for x
    x = 400,568,094,332,403,776/293,469,814.13
  6. Step 6: Final answer
    x = 1,364,937,976.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.