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Finding the Third Proportional to 6,150,714.75 and 14,239,000.13

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Solution

The third proportional to 6,150,714.75 and 14,239,000.13 is: 32,963,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150,714.75 : 14,239,000.13 = 14,239,000.13 : x
  2. Step 2: Convert to fraction form
    6,150,714.75/14,239,000.13 = 14,239,000.13/x
  3. Step 3: Cross multiply
    6,150,714.75x = 14,239,000.13 × 14,239,000.13
  4. Step 4: Simplify right side
    6,150,714.75x = 202,749,124,559,750
  5. Step 5: Solve for x
    x = 202,749,124,559,750/6,150,714.75
  6. Step 6: Final answer
    x = 32,963,506.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.