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Finding the Third Proportional to 431,235,908 and 938,028,386

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Solution

The third proportional to 431,235,908 and 938,028,386 is: 2,040,408,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,235,908 : 938,028,386 = 938,028,386 : x
  2. Step 2: Convert to fraction form
    431,235,908/938,028,386 = 938,028,386/x
  3. Step 3: Cross multiply
    431,235,908x = 938,028,386 × 938,028,386
  4. Step 4: Simplify right side
    431,235,908x = 879,897,252,941,764,992
  5. Step 5: Solve for x
    x = 879,897,252,941,764,992/431,235,908
  6. Step 6: Final answer
    x = 2,040,408,130.72

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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.