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Finding the Third Proportional to 2,411,489,653.50 and 5,223,694,252.50

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Solution

The third proportional to 2,411,489,653.50 and 5,223,694,252.50 is: 11,315,404,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,489,653.50 : 5,223,694,252.50 = 5,223,694,252.50 : x
  2. Step 2: Convert to fraction form
    2,411,489,653.50/5,223,694,252.50 = 5,223,694,252.50/x
  3. Step 3: Cross multiply
    2,411,489,653.50x = 5,223,694,252.50 × 5,223,694,252.50
  4. Step 4: Simplify right side
    2,411,489,653.50x = 27,286,981,643,601,534,976
  5. Step 5: Solve for x
    x = 27,286,981,643,601,534,976/2,411,489,653.50
  6. Step 6: Final answer
    x = 11,315,404,817.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.