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Finding the Third Proportional to 4,456,013 and 6,496,243

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Solution

The third proportional to 4,456,013 and 6,496,243 is: 9,470,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456,013 : 6,496,243 = 6,496,243 : x
  2. Step 2: Convert to fraction form
    4,456,013/6,496,243 = 6,496,243/x
  3. Step 3: Cross multiply
    4,456,013x = 6,496,243 × 6,496,243
  4. Step 4: Simplify right side
    4,456,013x = 42,201,173,115,049
  5. Step 5: Solve for x
    x = 42,201,173,115,049/4,456,013
  6. Step 6: Final answer
    x = 9,470,612.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.