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Finding the Third Proportional to 11,098,642,002 and 26,190,808,613

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Solution

The third proportional to 11,098,642,002 and 26,190,808,613 is: 61,805,620,514.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098,642,002 : 26,190,808,613 = 26,190,808,613 : x
  2. Step 2: Convert to fraction form
    11,098,642,002/26,190,808,613 = 26,190,808,613/x
  3. Step 3: Cross multiply
    11,098,642,002x = 26,190,808,613 × 26,190,808,613
  4. Step 4: Simplify right side
    11,098,642,002x = 685,958,455,802,794,999,808
  5. Step 5: Solve for x
    x = 685,958,455,802,794,999,808/11,098,642,002
  6. Step 6: Final answer
    x = 61,805,620,514.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.