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Finding the Third Proportional to 392,363,568 and 841,061,016

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Solution

The third proportional to 392,363,568 and 841,061,016 is: 1,802,877,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,363,568 : 841,061,016 = 841,061,016 : x
  2. Step 2: Convert to fraction form
    392,363,568/841,061,016 = 841,061,016/x
  3. Step 3: Cross multiply
    392,363,568x = 841,061,016 × 841,061,016
  4. Step 4: Simplify right side
    392,363,568x = 707,383,632,634,952,192
  5. Step 5: Solve for x
    x = 707,383,632,634,952,192/392,363,568
  6. Step 6: Final answer
    x = 1,802,877,969.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.