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Finding the Third Proportional to 384,448,215 and 838,757,080.50

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Solution

The third proportional to 384,448,215 and 838,757,080.50 is: 1,829,930,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,448,215 : 838,757,080.50 = 838,757,080.50 : x
  2. Step 2: Convert to fraction form
    384,448,215/838,757,080.50 = 838,757,080.50/x
  3. Step 3: Cross multiply
    384,448,215x = 838,757,080.50 × 838,757,080.50
  4. Step 4: Simplify right side
    384,448,215x = 703,513,440,088,883,456
  5. Step 5: Solve for x
    x = 703,513,440,088,883,456/384,448,215
  6. Step 6: Final answer
    x = 1,829,930,306.97

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.