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Finding the Third Proportional to 2,697,866,679 and 4,046,786,653.50

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Solution

The third proportional to 2,697,866,679 and 4,046,786,653.50 is: 6,070,159,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697,866,679 : 4,046,786,653.50 = 4,046,786,653.50 : x
  2. Step 2: Convert to fraction form
    2,697,866,679/4,046,786,653.50 = 4,046,786,653.50/x
  3. Step 3: Cross multiply
    2,697,866,679x = 4,046,786,653.50 × 4,046,786,653.50
  4. Step 4: Simplify right side
    2,697,866,679x = 16,376,482,218,945,728,512
  5. Step 5: Solve for x
    x = 16,376,482,218,945,728,512/2,697,866,679
  6. Step 6: Final answer
    x = 6,070,159,932.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.