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Finding the Third Proportional to 2,668,029,156 and 5,795,349,918

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Solution

The third proportional to 2,668,029,156 and 5,795,349,918 is: 12,588,348,443.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668,029,156 : 5,795,349,918 = 5,795,349,918 : x
  2. Step 2: Convert to fraction form
    2,668,029,156/5,795,349,918 = 5,795,349,918/x
  3. Step 3: Cross multiply
    2,668,029,156x = 5,795,349,918 × 5,795,349,918
  4. Step 4: Simplify right side
    2,668,029,156x = 33,586,080,672,062,607,360
  5. Step 5: Solve for x
    x = 33,586,080,672,062,607,360/2,668,029,156
  6. Step 6: Final answer
    x = 12,588,348,443.09

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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.