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Finding the Third Proportional to 5,650,698 and 12,376,305

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Solution

The third proportional to 5,650,698 and 12,376,305 is: 27,106,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,650,698 : 12,376,305 = 12,376,305 : x
  2. Step 2: Convert to fraction form
    5,650,698/12,376,305 = 12,376,305/x
  3. Step 3: Cross multiply
    5,650,698x = 12,376,305 × 12,376,305
  4. Step 4: Simplify right side
    5,650,698x = 153,172,925,453,025
  5. Step 5: Solve for x
    x = 153,172,925,453,025/5,650,698
  6. Step 6: Final answer
    x = 27,106,903.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.