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Finding the Third Proportional to 11,086,570 and 23,705,276

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Solution

The third proportional to 11,086,570 and 23,705,276 is: 50,686,561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086,570 : 23,705,276 = 23,705,276 : x
  2. Step 2: Convert to fraction form
    11,086,570/23,705,276 = 23,705,276/x
  3. Step 3: Cross multiply
    11,086,570x = 23,705,276 × 23,705,276
  4. Step 4: Simplify right side
    11,086,570x = 561,940,110,236,176
  5. Step 5: Solve for x
    x = 561,940,110,236,176/11,086,570
  6. Step 6: Final answer
    x = 50,686,561.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.