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Finding the Third Proportional to 4,279,329,774 and 9,318,366,846

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Solution

The third proportional to 4,279,329,774 and 9,318,366,846 is: 20,291,018,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,279,329,774 : 9,318,366,846 = 9,318,366,846 : x
  2. Step 2: Convert to fraction form
    4,279,329,774/9,318,366,846 = 9,318,366,846/x
  3. Step 3: Cross multiply
    4,279,329,774x = 9,318,366,846 × 9,318,366,846
  4. Step 4: Simplify right side
    4,279,329,774x = 86,831,960,676,631,986,176
  5. Step 5: Solve for x
    x = 86,831,960,676,631,986,176/4,279,329,774
  6. Step 6: Final answer
    x = 20,291,018,748.82

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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.