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Finding the Third Proportional to 347,846,932.50 and 719,906,346

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Solution

The third proportional to 347,846,932.50 and 719,906,346 is: 1,489,923,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,846,932.50 : 719,906,346 = 719,906,346 : x
  2. Step 2: Convert to fraction form
    347,846,932.50/719,906,346 = 719,906,346/x
  3. Step 3: Cross multiply
    347,846,932.50x = 719,906,346 × 719,906,346
  4. Step 4: Simplify right side
    347,846,932.50x = 518,265,147,011,071,744
  5. Step 5: Solve for x
    x = 518,265,147,011,071,744/347,846,932.50
  6. Step 6: Final answer
    x = 1,489,923,005.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.