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Finding the Third Proportional to 2,668,029,154 and 5,795,349,914

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Solution

The third proportional to 2,668,029,154 and 5,795,349,914 is: 12,588,348,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668,029,154 : 5,795,349,914 = 5,795,349,914 : x
  2. Step 2: Convert to fraction form
    2,668,029,154/5,795,349,914 = 5,795,349,914/x
  3. Step 3: Cross multiply
    2,668,029,154x = 5,795,349,914 × 5,795,349,914
  4. Step 4: Simplify right side
    2,668,029,154x = 33,586,080,625,699,807,232
  5. Step 5: Solve for x
    x = 33,586,080,625,699,807,232/2,668,029,154
  6. Step 6: Final answer
    x = 12,588,348,435.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.