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Finding the Third Proportional to 1,432,117,676 and 3,084,597,472

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Solution

The third proportional to 1,432,117,676 and 3,084,597,472 is: 6,643,826,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432,117,676 : 3,084,597,472 = 3,084,597,472 : x
  2. Step 2: Convert to fraction form
    1,432,117,676/3,084,597,472 = 3,084,597,472/x
  3. Step 3: Cross multiply
    1,432,117,676x = 3,084,597,472 × 3,084,597,472
  4. Step 4: Simplify right side
    1,432,117,676x = 9,514,741,564,268,789,760
  5. Step 5: Solve for x
    x = 9,514,741,564,268,789,760/1,432,117,676
  6. Step 6: Final answer
    x = 6,643,826,637.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.