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Finding the Third Proportional to 365,011,276 and 811,631,456

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Solution

The third proportional to 365,011,276 and 811,631,456 is: 1,804,726,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,011,276 : 811,631,456 = 811,631,456 : x
  2. Step 2: Convert to fraction form
    365,011,276/811,631,456 = 811,631,456/x
  3. Step 3: Cross multiply
    365,011,276x = 811,631,456 × 811,631,456
  4. Step 4: Simplify right side
    365,011,276x = 658,745,620,368,679,936
  5. Step 5: Solve for x
    x = 658,745,620,368,679,936/365,011,276
  6. Step 6: Final answer
    x = 1,804,726,767.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.