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Finding the Third Proportional to 7,994,057.06 and 17,582,070.94

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Solution

The third proportional to 7,994,057.06 and 17,582,070.94 is: 38,669,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994,057.06 : 17,582,070.94 = 17,582,070.94 : x
  2. Step 2: Convert to fraction form
    7,994,057.06/17,582,070.94 = 17,582,070.94/x
  3. Step 3: Cross multiply
    7,994,057.06x = 17,582,070.94 × 17,582,070.94
  4. Step 4: Simplify right side
    7,994,057.06x = 309,129,218,451,282.12
  5. Step 5: Solve for x
    x = 309,129,218,451,282.12/7,994,057.06
  6. Step 6: Final answer
    x = 38,669,878.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.