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Finding the Third Proportional to 412,307,284 and 883,635,128

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Solution

The third proportional to 412,307,284 and 883,635,128 is: 1,893,759,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,307,284 : 883,635,128 = 883,635,128 : x
  2. Step 2: Convert to fraction form
    412,307,284/883,635,128 = 883,635,128/x
  3. Step 3: Cross multiply
    412,307,284x = 883,635,128 × 883,635,128
  4. Step 4: Simplify right side
    412,307,284x = 780,811,039,435,576,320
  5. Step 5: Solve for x
    x = 780,811,039,435,576,320/412,307,284
  6. Step 6: Final answer
    x = 1,893,759,993.42

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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.