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Finding the Third Proportional to 4,078,298,469 and 6,297,606,159

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Solution

The third proportional to 4,078,298,469 and 6,297,606,159 is: 9,724,605,404.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078,298,469 : 6,297,606,159 = 6,297,606,159 : x
  2. Step 2: Convert to fraction form
    4,078,298,469/6,297,606,159 = 6,297,606,159/x
  3. Step 3: Cross multiply
    4,078,298,469x = 6,297,606,159 × 6,297,606,159
  4. Step 4: Simplify right side
    4,078,298,469x = 39,659,843,333,874,737,152
  5. Step 5: Solve for x
    x = 39,659,843,333,874,737,152/4,078,298,469
  6. Step 6: Final answer
    x = 9,724,605,404.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.