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Finding the Third Proportional to 3,163,490 and 6,824,644

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Solution

The third proportional to 3,163,490 and 6,824,644 is: 14,722,905.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163,490 : 6,824,644 = 6,824,644 : x
  2. Step 2: Convert to fraction form
    3,163,490/6,824,644 = 6,824,644/x
  3. Step 3: Cross multiply
    3,163,490x = 6,824,644 × 6,824,644
  4. Step 4: Simplify right side
    3,163,490x = 46,575,765,726,736
  5. Step 5: Solve for x
    x = 46,575,765,726,736/3,163,490
  6. Step 6: Final answer
    x = 14,722,905.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.