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Finding the Third Proportional to 1,636,561,462.50 and 3,589,969,653

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Solution

The third proportional to 1,636,561,462.50 and 3,589,969,653 is: 7,874,975,920.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,561,462.50 : 3,589,969,653 = 3,589,969,653 : x
  2. Step 2: Convert to fraction form
    1,636,561,462.50/3,589,969,653 = 3,589,969,653/x
  3. Step 3: Cross multiply
    1,636,561,462.50x = 3,589,969,653 × 3,589,969,653
  4. Step 4: Simplify right side
    1,636,561,462.50x = 12,887,882,109,460,940,800
  5. Step 5: Solve for x
    x = 12,887,882,109,460,940,800/1,636,561,462.50
  6. Step 6: Final answer
    x = 7,874,975,920.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.