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Finding the Third Proportional to 386,597,493,349 and 784,218,335,213

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Solution

The third proportional to 386,597,493,349 and 784,218,335,213 is: 1,590,797,684,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,597,493,349 : 784,218,335,213 = 784,218,335,213 : x
  2. Step 2: Convert to fraction form
    386,597,493,349/784,218,335,213 = 784,218,335,213/x
  3. Step 3: Cross multiply
    386,597,493,349x = 784,218,335,213 × 784,218,335,213
  4. Step 4: Simplify right side
    386,597,493,349x = 614,998,397,284,249,199,706,112
  5. Step 5: Solve for x
    x = 614,998,397,284,249,199,706,112/386,597,493,349
  6. Step 6: Final answer
    x = 1,590,797,684,580.59

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.