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Finding the Third Proportional to 14,196,858,659 and 30,749,591,032

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Solution

The third proportional to 14,196,858,659 and 30,749,591,032 is: 66,601,870,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196,858,659 : 30,749,591,032 = 30,749,591,032 : x
  2. Step 2: Convert to fraction form
    14,196,858,659/30,749,591,032 = 30,749,591,032/x
  3. Step 3: Cross multiply
    14,196,858,659x = 30,749,591,032 × 30,749,591,032
  4. Step 4: Simplify right side
    14,196,858,659x = 945,537,348,635,254,849,536
  5. Step 5: Solve for x
    x = 945,537,348,635,254,849,536/14,196,858,659
  6. Step 6: Final answer
    x = 66,601,870,973.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.