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Finding the Third Proportional to 9,786,828 and 23,026,416

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Solution

The third proportional to 9,786,828 and 23,026,416 is: 54,176,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,828 : 23,026,416 = 23,026,416 : x
  2. Step 2: Convert to fraction form
    9,786,828/23,026,416 = 23,026,416/x
  3. Step 3: Cross multiply
    9,786,828x = 23,026,416 × 23,026,416
  4. Step 4: Simplify right side
    9,786,828x = 530,215,833,805,056
  5. Step 5: Solve for x
    x = 530,215,833,805,056/9,786,828
  6. Step 6: Final answer
    x = 54,176,474.11

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.