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Finding the Third Proportional to 431,236,717.13 and 938,030,568.09

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Solution

The third proportional to 431,236,717.13 and 938,030,568.09 is: 2,040,413,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,236,717.13 : 938,030,568.09 = 938,030,568.09 : x
  2. Step 2: Convert to fraction form
    431,236,717.13/938,030,568.09 = 938,030,568.09/x
  3. Step 3: Cross multiply
    431,236,717.13x = 938,030,568.09 × 938,030,568.09
  4. Step 4: Simplify right side
    431,236,717.13x = 879,901,346,678,283,392
  5. Step 5: Solve for x
    x = 879,901,346,678,283,392/431,236,717.13
  6. Step 6: Final answer
    x = 2,040,413,795.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.