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Finding the Third Proportional to 3,124,416 and 6,497,640

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Solution

The third proportional to 3,124,416 and 6,497,640 is: 13,512,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124,416 : 6,497,640 = 6,497,640 : x
  2. Step 2: Convert to fraction form
    3,124,416/6,497,640 = 6,497,640/x
  3. Step 3: Cross multiply
    3,124,416x = 6,497,640 × 6,497,640
  4. Step 4: Simplify right side
    3,124,416x = 42,219,325,569,600
  5. Step 5: Solve for x
    x = 42,219,325,569,600/3,124,416
  6. Step 6: Final answer
    x = 13,512,709.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.