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Finding the Third Proportional to 2,854,955,648 and 4,364,491,596

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Solution

The third proportional to 2,854,955,648 and 4,364,491,596 is: 6,672,183,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,955,648 : 4,364,491,596 = 4,364,491,596 : x
  2. Step 2: Convert to fraction form
    2,854,955,648/4,364,491,596 = 4,364,491,596/x
  3. Step 3: Cross multiply
    2,854,955,648x = 4,364,491,596 × 4,364,491,596
  4. Step 4: Simplify right side
    2,854,955,648x = 19,048,786,891,554,627,584
  5. Step 5: Solve for x
    x = 19,048,786,891,554,627,584/2,854,955,648
  6. Step 6: Final answer
    x = 6,672,183,123.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.