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Finding the Third Proportional to 432,621,538,964.25 and 635,972,853,939.75

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Solution

The third proportional to 432,621,538,964.25 and 635,972,853,939.75 is: 934,908,307,886.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,621,538,964.25 : 635,972,853,939.75 = 635,972,853,939.75 : x
  2. Step 2: Convert to fraction form
    432,621,538,964.25/635,972,853,939.75 = 635,972,853,939.75/x
  3. Step 3: Cross multiply
    432,621,538,964.25x = 635,972,853,939.75 × 635,972,853,939.75
  4. Step 4: Simplify right side
    432,621,538,964.25x = 404,461,470,948,270,595,375,104
  5. Step 5: Solve for x
    x = 404,461,470,948,270,595,375,104/432,621,538,964.25
  6. Step 6: Final answer
    x = 934,908,307,886.39

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.