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Finding the Third Proportional to 2,668,029,312 and 5,795,350,251

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Solution

The third proportional to 2,668,029,312 and 5,795,350,251 is: 12,588,349,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668,029,312 : 5,795,350,251 = 5,795,350,251 : x
  2. Step 2: Convert to fraction form
    2,668,029,312/5,795,350,251 = 5,795,350,251/x
  3. Step 3: Cross multiply
    2,668,029,312x = 5,795,350,251 × 5,795,350,251
  4. Step 4: Simplify right side
    2,668,029,312x = 33,586,084,531,765,764,096
  5. Step 5: Solve for x
    x = 33,586,084,531,765,764,096/2,668,029,312
  6. Step 6: Final answer
    x = 12,588,349,153.70

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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.