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Finding the Third Proportional to 3,281,829,963 and 7,061,410,040

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Solution

The third proportional to 3,281,829,963 and 7,061,410,040 is: 15,193,813,303.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281,829,963 : 7,061,410,040 = 7,061,410,040 : x
  2. Step 2: Convert to fraction form
    3,281,829,963/7,061,410,040 = 7,061,410,040/x
  3. Step 3: Cross multiply
    3,281,829,963x = 7,061,410,040 × 7,061,410,040
  4. Step 4: Simplify right side
    3,281,829,963x = 49,863,511,753,012,805,632
  5. Step 5: Solve for x
    x = 49,863,511,753,012,805,632/3,281,829,963
  6. Step 6: Final answer
    x = 15,193,813,303.91

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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.