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Finding the Third Proportional to 4,078,298,682 and 6,297,606,670

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Solution

The third proportional to 4,078,298,682 and 6,297,606,670 is: 9,724,606,475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078,298,682 : 6,297,606,670 = 6,297,606,670 : x
  2. Step 2: Convert to fraction form
    4,078,298,682/6,297,606,670 = 6,297,606,670/x
  3. Step 3: Cross multiply
    4,078,298,682x = 6,297,606,670 × 6,297,606,670
  4. Step 4: Simplify right side
    4,078,298,682x = 39,659,849,770,028,490,752
  5. Step 5: Solve for x
    x = 39,659,849,770,028,490,752/4,078,298,682
  6. Step 6: Final answer
    x = 9,724,606,475.02

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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.