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Finding the Third Proportional to 412,307,288 and 883,635,136

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Solution

The third proportional to 412,307,288 and 883,635,136 is: 1,893,760,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,307,288 : 883,635,136 = 883,635,136 : x
  2. Step 2: Convert to fraction form
    412,307,288/883,635,136 = 883,635,136/x
  3. Step 3: Cross multiply
    412,307,288x = 883,635,136 × 883,635,136
  4. Step 4: Simplify right side
    412,307,288x = 780,811,053,573,738,496
  5. Step 5: Solve for x
    x = 780,811,053,573,738,496/412,307,288
  6. Step 6: Final answer
    x = 1,893,760,009.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.