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Finding the Third Proportional to 4,859,709.75 and 10,440,608.06

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Solution

The third proportional to 4,859,709.75 and 10,440,608.06 is: 22,430,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,859,709.75 : 10,440,608.06 = 10,440,608.06 : x
  2. Step 2: Convert to fraction form
    4,859,709.75/10,440,608.06 = 10,440,608.06/x
  3. Step 3: Cross multiply
    4,859,709.75x = 10,440,608.06 × 10,440,608.06
  4. Step 4: Simplify right side
    4,859,709.75x = 109,006,296,714,740
  5. Step 5: Solve for x
    x = 109,006,296,714,740/4,859,709.75
  6. Step 6: Final answer
    x = 22,430,618.77

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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.