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Finding the Third Proportional to 4,796,084,042 and 7,194,125,577

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Solution

The third proportional to 4,796,084,042 and 7,194,125,577 is: 10,791,187,636.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796,084,042 : 7,194,125,577 = 7,194,125,577 : x
  2. Step 2: Convert to fraction form
    4,796,084,042/7,194,125,577 = 7,194,125,577/x
  3. Step 3: Cross multiply
    4,796,084,042x = 7,194,125,577 × 7,194,125,577
  4. Step 4: Simplify right side
    4,796,084,042x = 51,755,442,817,645,584,384
  5. Step 5: Solve for x
    x = 51,755,442,817,645,584,384/4,796,084,042
  6. Step 6: Final answer
    x = 10,791,187,636.50

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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.