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Finding the Third Proportional to 3,270,418,102 and 4,904,426,489

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Solution

The third proportional to 3,270,418,102 and 4,904,426,489 is: 7,354,839,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270,418,102 : 4,904,426,489 = 4,904,426,489 : x
  2. Step 2: Convert to fraction form
    3,270,418,102/4,904,426,489 = 4,904,426,489/x
  3. Step 3: Cross multiply
    3,270,418,102x = 4,904,426,489 × 4,904,426,489
  4. Step 4: Simplify right side
    3,270,418,102x = 24,053,399,186,004,869,120
  5. Step 5: Solve for x
    x = 24,053,399,186,004,869,120/3,270,418,102
  6. Step 6: Final answer
    x = 7,354,839,178.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.