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Finding the Third Proportional to 10,902,392,782.50 and 23,665,472,583

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Solution

The third proportional to 10,902,392,782.50 and 23,665,472,583 is: 51,369,878,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902,392,782.50 : 23,665,472,583 = 23,665,472,583 : x
  2. Step 2: Convert to fraction form
    10,902,392,782.50/23,665,472,583 = 23,665,472,583/x
  3. Step 3: Cross multiply
    10,902,392,782.50x = 23,665,472,583 × 23,665,472,583
  4. Step 4: Simplify right side
    10,902,392,782.50x = 560,054,592,576,724,664,320
  5. Step 5: Solve for x
    x = 560,054,592,576,724,664,320/10,902,392,782.50
  6. Step 6: Final answer
    x = 51,369,878,498.20

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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.