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Finding the Third Proportional to 431,236,714 and 938,030,561

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Solution

The third proportional to 431,236,714 and 938,030,561 is: 2,040,413,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,236,714 : 938,030,561 = 938,030,561 : x
  2. Step 2: Convert to fraction form
    431,236,714/938,030,561 = 938,030,561/x
  3. Step 3: Cross multiply
    431,236,714x = 938,030,561 × 938,030,561
  4. Step 4: Simplify right side
    431,236,714x = 879,901,333,369,974,784
  5. Step 5: Solve for x
    x = 879,901,333,369,974,784/431,236,714
  6. Step 6: Final answer
    x = 2,040,413,779.26

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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.