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Finding the Third Proportional to 4,567,691,856 and 7,268,095,692

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Solution

The third proportional to 4,567,691,856 and 7,268,095,692 is: 11,564,969,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567,691,856 : 7,268,095,692 = 7,268,095,692 : x
  2. Step 2: Convert to fraction form
    4,567,691,856/7,268,095,692 = 7,268,095,692/x
  3. Step 3: Cross multiply
    4,567,691,856x = 7,268,095,692 × 7,268,095,692
  4. Step 4: Simplify right side
    4,567,691,856x = 52,825,214,988,068,962,304
  5. Step 5: Solve for x
    x = 52,825,214,988,068,962,304/4,567,691,856
  6. Step 6: Final answer
    x = 11,564,969,059.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.