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Finding the Third Proportional to 356,796,724 and 768,251,724

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Solution

The third proportional to 356,796,724 and 768,251,724 is: 1,654,193,191.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,796,724 : 768,251,724 = 768,251,724 : x
  2. Step 2: Convert to fraction form
    356,796,724/768,251,724 = 768,251,724/x
  3. Step 3: Cross multiply
    356,796,724x = 768,251,724 × 768,251,724
  4. Step 4: Simplify right side
    356,796,724x = 590,210,711,428,972,160
  5. Step 5: Solve for x
    x = 590,210,711,428,972,160/356,796,724
  6. Step 6: Final answer
    x = 1,654,193,191.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.