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Finding the Third Proportional to 8,999,142,208 and 19,582,497,144

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Solution

The third proportional to 8,999,142,208 and 19,582,497,144 is: 42,612,305,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,999,142,208 : 19,582,497,144 = 19,582,497,144 : x
  2. Step 2: Convert to fraction form
    8,999,142,208/19,582,497,144 = 19,582,497,144/x
  3. Step 3: Cross multiply
    8,999,142,208x = 19,582,497,144 × 19,582,497,144
  4. Step 4: Simplify right side
    8,999,142,208x = 383,474,194,394,768,146,432
  5. Step 5: Solve for x
    x = 383,474,194,394,768,146,432/8,999,142,208
  6. Step 6: Final answer
    x = 42,612,305,209.92

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Why These Related Problems?

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