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Finding the Third Proportional to 9,727,674,268 and 19,726,032,500

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Solution

The third proportional to 9,727,674,268 and 19,726,032,500 is: 40,000,965,027.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727,674,268 : 19,726,032,500 = 19,726,032,500 : x
  2. Step 2: Convert to fraction form
    9,727,674,268/19,726,032,500 = 19,726,032,500/x
  3. Step 3: Cross multiply
    9,727,674,268x = 19,726,032,500 × 19,726,032,500
  4. Step 4: Simplify right side
    9,727,674,268x = 389,116,358,191,056,224,256
  5. Step 5: Solve for x
    x = 389,116,358,191,056,224,256/9,727,674,268
  6. Step 6: Final answer
    x = 40,000,965,027.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.