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Finding the Third Proportional to 11,171,012,010 and 24,303,327,810

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Solution

The third proportional to 11,171,012,010 and 24,303,327,810 is: 52,873,610,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171,012,010 : 24,303,327,810 = 24,303,327,810 : x
  2. Step 2: Convert to fraction form
    11,171,012,010/24,303,327,810 = 24,303,327,810/x
  3. Step 3: Cross multiply
    11,171,012,010x = 24,303,327,810 × 24,303,327,810
  4. Step 4: Simplify right side
    11,171,012,010x = 590,651,742,640,319,365,120
  5. Step 5: Solve for x
    x = 590,651,742,640,319,365,120/11,171,012,010
  6. Step 6: Final answer
    x = 52,873,610,923.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.