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Finding the Third Proportional to 987,345,098 and 2,056,412,164

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Solution

The third proportional to 987,345,098 and 2,056,412,164 is: 4,283,032,342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,345,098 : 2,056,412,164 = 2,056,412,164 : x
  2. Step 2: Convert to fraction form
    987,345,098/2,056,412,164 = 2,056,412,164/x
  3. Step 3: Cross multiply
    987,345,098x = 2,056,412,164 × 2,056,412,164
  4. Step 4: Simplify right side
    987,345,098x = 4,228,830,988,247,162,880
  5. Step 5: Solve for x
    x = 4,228,830,988,247,162,880/987,345,098
  6. Step 6: Final answer
    x = 4,283,032,342.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.