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Finding the Third Proportional to 6,261,916,842 and 13,420,208,169

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Solution

The third proportional to 6,261,916,842 and 13,420,208,169 is: 28,761,478,608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261,916,842 : 13,420,208,169 = 13,420,208,169 : x
  2. Step 2: Convert to fraction form
    6,261,916,842/13,420,208,169 = 13,420,208,169/x
  3. Step 3: Cross multiply
    6,261,916,842x = 13,420,208,169 × 13,420,208,169
  4. Step 4: Simplify right side
    6,261,916,842x = 180,101,987,299,294,347,264
  5. Step 5: Solve for x
    x = 180,101,987,299,294,347,264/6,261,916,842
  6. Step 6: Final answer
    x = 28,761,478,608.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.