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Finding the Third Proportional to 328,380,110 and 713,918,192

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Solution

The third proportional to 328,380,110 and 713,918,192 is: 1,552,101,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,380,110 : 713,918,192 = 713,918,192 : x
  2. Step 2: Convert to fraction form
    328,380,110/713,918,192 = 713,918,192/x
  3. Step 3: Cross multiply
    328,380,110x = 713,918,192 × 713,918,192
  4. Step 4: Simplify right side
    328,380,110x = 509,679,184,868,548,864
  5. Step 5: Solve for x
    x = 509,679,184,868,548,864/328,380,110
  6. Step 6: Final answer
    x = 1,552,101,267.24

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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.