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Finding the Third Proportional to 1,272,993,472 and 2,741,864,384

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Solution

The third proportional to 1,272,993,472 and 2,741,864,384 is: 5,905,623,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,993,472 : 2,741,864,384 = 2,741,864,384 : x
  2. Step 2: Convert to fraction form
    1,272,993,472/2,741,864,384 = 2,741,864,384/x
  3. Step 3: Cross multiply
    1,272,993,472x = 2,741,864,384 × 2,741,864,384
  4. Step 4: Simplify right side
    1,272,993,472x = 7,517,820,300,247,699,456
  5. Step 5: Solve for x
    x = 7,517,820,300,247,699,456/1,272,993,472
  6. Step 6: Final answer
    x = 5,905,623,607.35

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