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Finding the Third Proportional to 1,104,578,942 and 1,715,069,383

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Solution

The third proportional to 1,104,578,942 and 1,715,069,383 is: 2,662,972,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104,578,942 : 1,715,069,383 = 1,715,069,383 : x
  2. Step 2: Convert to fraction form
    1,104,578,942/1,715,069,383 = 1,715,069,383/x
  3. Step 3: Cross multiply
    1,104,578,942x = 1,715,069,383 × 1,715,069,383
  4. Step 4: Simplify right side
    1,104,578,942x = 2,941,462,988,504,000,512
  5. Step 5: Solve for x
    x = 2,941,462,988,504,000,512/1,104,578,942
  6. Step 6: Final answer
    x = 2,662,972,175.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.