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Finding the Third Proportional to 2,311,029 and 5,153,148

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Solution

The third proportional to 2,311,029 and 5,153,148 is: 11,490,524.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311,029 : 5,153,148 = 5,153,148 : x
  2. Step 2: Convert to fraction form
    2,311,029/5,153,148 = 5,153,148/x
  3. Step 3: Cross multiply
    2,311,029x = 5,153,148 × 5,153,148
  4. Step 4: Simplify right side
    2,311,029x = 26,554,934,309,904
  5. Step 5: Solve for x
    x = 26,554,934,309,904/2,311,029
  6. Step 6: Final answer
    x = 11,490,524.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.