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Finding the Third Proportional to 2,831,284 and 6,160,184

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Solution

The third proportional to 2,831,284 and 6,160,184 is: 13,403,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831,284 : 6,160,184 = 6,160,184 : x
  2. Step 2: Convert to fraction form
    2,831,284/6,160,184 = 6,160,184/x
  3. Step 3: Cross multiply
    2,831,284x = 6,160,184 × 6,160,184
  4. Step 4: Simplify right side
    2,831,284x = 37,947,866,913,856
  5. Step 5: Solve for x
    x = 37,947,866,913,856/2,831,284
  6. Step 6: Final answer
    x = 13,403,059.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.