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Finding the Third Proportional to 328,380,096 and 713,918,166

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Solution

The third proportional to 328,380,096 and 713,918,166 is: 1,552,101,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,380,096 : 713,918,166 = 713,918,166 : x
  2. Step 2: Convert to fraction form
    328,380,096/713,918,166 = 713,918,166/x
  3. Step 3: Cross multiply
    328,380,096x = 713,918,166 × 713,918,166
  4. Step 4: Simplify right side
    328,380,096x = 509,679,147,744,803,584
  5. Step 5: Solve for x
    x = 509,679,147,744,803,584/328,380,096
  6. Step 6: Final answer
    x = 1,552,101,220.36

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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.