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Finding the Third Proportional to 2,885,600 and 6,157,216

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Solution

The third proportional to 2,885,600 and 6,157,216 is: 13,138,102.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885,600 : 6,157,216 = 6,157,216 : x
  2. Step 2: Convert to fraction form
    2,885,600/6,157,216 = 6,157,216/x
  3. Step 3: Cross multiply
    2,885,600x = 6,157,216 × 6,157,216
  4. Step 4: Simplify right side
    2,885,600x = 37,911,308,870,656
  5. Step 5: Solve for x
    x = 37,911,308,870,656/2,885,600
  6. Step 6: Final answer
    x = 13,138,102.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.