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Finding the Third Proportional to 4,567,691,858 and 7,268,095,695

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Solution

The third proportional to 4,567,691,858 and 7,268,095,695 is: 11,564,969,064.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567,691,858 : 7,268,095,695 = 7,268,095,695 : x
  2. Step 2: Convert to fraction form
    4,567,691,858/7,268,095,695 = 7,268,095,695/x
  3. Step 3: Cross multiply
    4,567,691,858x = 7,268,095,695 × 7,268,095,695
  4. Step 4: Simplify right side
    4,567,691,858x = 52,825,215,031,677,534,208
  5. Step 5: Solve for x
    x = 52,825,215,031,677,534,208/4,567,691,858
  6. Step 6: Final answer
    x = 11,564,969,064.01

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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.