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Finding the Third Proportional to 2,668,029,308 and 5,795,350,243

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Solution

The third proportional to 2,668,029,308 and 5,795,350,243 is: 12,588,349,137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668,029,308 : 5,795,350,243 = 5,795,350,243 : x
  2. Step 2: Convert to fraction form
    2,668,029,308/5,795,350,243 = 5,795,350,243/x
  3. Step 3: Cross multiply
    2,668,029,308x = 5,795,350,243 × 5,795,350,243
  4. Step 4: Simplify right side
    2,668,029,308x = 33,586,084,439,040,159,744
  5. Step 5: Solve for x
    x = 33,586,084,439,040,159,744/2,668,029,308
  6. Step 6: Final answer
    x = 12,588,349,137.82

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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.