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Finding the Third Proportional to 987,345,108 and 2,056,412,184

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Solution

The third proportional to 987,345,108 and 2,056,412,184 is: 4,283,032,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,345,108 : 2,056,412,184 = 2,056,412,184 : x
  2. Step 2: Convert to fraction form
    987,345,108/2,056,412,184 = 2,056,412,184/x
  3. Step 3: Cross multiply
    987,345,108x = 2,056,412,184 × 2,056,412,184
  4. Step 4: Simplify right side
    987,345,108x = 4,228,831,070,503,649,792
  5. Step 5: Solve for x
    x = 4,228,831,070,503,649,792/987,345,108
  6. Step 6: Final answer
    x = 4,283,032,382.74

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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.