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Finding the Third Proportional to 11,316,231,411 and 23,805,166,119

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Solution

The third proportional to 11,316,231,411 and 23,805,166,119 is: 50,077,266,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316,231,411 : 23,805,166,119 = 23,805,166,119 : x
  2. Step 2: Convert to fraction form
    11,316,231,411/23,805,166,119 = 23,805,166,119/x
  3. Step 3: Cross multiply
    11,316,231,411x = 23,805,166,119 × 23,805,166,119
  4. Step 4: Simplify right side
    11,316,231,411x = 566,685,933,953,185,546,240
  5. Step 5: Solve for x
    x = 566,685,933,953,185,546,240/11,316,231,411
  6. Step 6: Final answer
    x = 50,077,266,306.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.