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Finding the Third Proportional to 6,821,306,118 and 14,843,759,724

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Solution

The third proportional to 6,821,306,118 and 14,843,759,724 is: 32,301,321,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821,306,118 : 14,843,759,724 = 14,843,759,724 : x
  2. Step 2: Convert to fraction form
    6,821,306,118/14,843,759,724 = 14,843,759,724/x
  3. Step 3: Cross multiply
    6,821,306,118x = 14,843,759,724 × 14,843,759,724
  4. Step 4: Simplify right side
    6,821,306,118x = 220,337,202,743,844,569,088
  5. Step 5: Solve for x
    x = 220,337,202,743,844,569,088/6,821,306,118
  6. Step 6: Final answer
    x = 32,301,321,613.82

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