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Finding the Third Proportional to 432,621,538,966 and 635,972,853,943

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Solution

The third proportional to 432,621,538,966 and 635,972,853,943 is: 934,908,307,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,621,538,966 : 635,972,853,943 = 635,972,853,943 : x
  2. Step 2: Convert to fraction form
    432,621,538,966/635,972,853,943 = 635,972,853,943/x
  3. Step 3: Cross multiply
    432,621,538,966x = 635,972,853,943 × 635,972,853,943
  4. Step 4: Simplify right side
    432,621,538,966x = 404,461,470,952,404,434,288,640
  5. Step 5: Solve for x
    x = 404,461,470,952,404,434,288,640/432,621,538,966
  6. Step 6: Final answer
    x = 934,908,307,892.16

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Why These Related Problems?

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