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Finding the Third Proportional to 27,854,062,040 and 61,180,130,110

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Solution

The third proportional to 27,854,062,040 and 61,180,130,110 is: 134,379,262,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,854,062,040 : 61,180,130,110 = 61,180,130,110 : x
  2. Step 2: Convert to fraction form
    27,854,062,040/61,180,130,110 = 61,180,130,110/x
  3. Step 3: Cross multiply
    27,854,062,040x = 61,180,130,110 × 61,180,130,110
  4. Step 4: Simplify right side
    27,854,062,040x = 3,743,008,320,276,528,627,712
  5. Step 5: Solve for x
    x = 3,743,008,320,276,528,627,712/27,854,062,040
  6. Step 6: Final answer
    x = 134,379,262,705.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.