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Finding the Third Proportional to 10,786,581 and 23,174,052.75

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Solution

The third proportional to 10,786,581 and 23,174,052.75 is: 49,787,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786,581 : 23,174,052.75 = 23,174,052.75 : x
  2. Step 2: Convert to fraction form
    10,786,581/23,174,052.75 = 23,174,052.75/x
  3. Step 3: Cross multiply
    10,786,581x = 23,174,052.75 × 23,174,052.75
  4. Step 4: Simplify right side
    10,786,581x = 537,036,720,859,782.56
  5. Step 5: Solve for x
    x = 537,036,720,859,782.56/10,786,581
  6. Step 6: Final answer
    x = 49,787,483.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.