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Finding the Third Proportional to 10,727,964 and 23,285,232

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Solution

The third proportional to 10,727,964 and 23,285,232 is: 50,541,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727,964 : 23,285,232 = 23,285,232 : x
  2. Step 2: Convert to fraction form
    10,727,964/23,285,232 = 23,285,232/x
  3. Step 3: Cross multiply
    10,727,964x = 23,285,232 × 23,285,232
  4. Step 4: Simplify right side
    10,727,964x = 542,202,029,293,824
  5. Step 5: Solve for x
    x = 542,202,029,293,824/10,727,964
  6. Step 6: Final answer
    x = 50,541,000.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.