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Finding the Third Proportional to 480,494,664 and 1,049,064,192

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Solution

The third proportional to 480,494,664 and 1,049,064,192 is: 2,290,422,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,494,664 : 1,049,064,192 = 1,049,064,192 : x
  2. Step 2: Convert to fraction form
    480,494,664/1,049,064,192 = 1,049,064,192/x
  3. Step 3: Cross multiply
    480,494,664x = 1,049,064,192 × 1,049,064,192
  4. Step 4: Simplify right side
    480,494,664x = 1,100,535,678,936,612,864
  5. Step 5: Solve for x
    x = 1,100,535,678,936,612,864/480,494,664
  6. Step 6: Final answer
    x = 2,290,422,269.78

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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.