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Finding the Third Proportional to 3,407,941.25 and 7,294,714.25

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Solution

The third proportional to 3,407,941.25 and 7,294,714.25 is: 15,614,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407,941.25 : 7,294,714.25 = 7,294,714.25 : x
  2. Step 2: Convert to fraction form
    3,407,941.25/7,294,714.25 = 7,294,714.25/x
  3. Step 3: Cross multiply
    3,407,941.25x = 7,294,714.25 × 7,294,714.25
  4. Step 4: Simplify right side
    3,407,941.25x = 53,212,855,989,153.06
  5. Step 5: Solve for x
    x = 53,212,855,989,153.06/3,407,941.25
  6. Step 6: Final answer
    x = 15,614,370.11

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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.