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Finding the Third Proportional to 3,070,702,976 and 6,686,624,512

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Solution

The third proportional to 3,070,702,976 and 6,686,624,512 is: 14,560,492,406.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070,702,976 : 6,686,624,512 = 6,686,624,512 : x
  2. Step 2: Convert to fraction form
    3,070,702,976/6,686,624,512 = 6,686,624,512/x
  3. Step 3: Cross multiply
    3,070,702,976x = 6,686,624,512 × 6,686,624,512
  4. Step 4: Simplify right side
    3,070,702,976x = 44,710,947,364,479,238,144
  5. Step 5: Solve for x
    x = 44,710,947,364,479,238,144/3,070,702,976
  6. Step 6: Final answer
    x = 14,560,492,406.44

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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.