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Finding the Third Proportional to 7,844,301 and 16,949,046

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Solution

The third proportional to 7,844,301 and 16,949,046 is: 36,621,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844,301 : 16,949,046 = 16,949,046 : x
  2. Step 2: Convert to fraction form
    7,844,301/16,949,046 = 16,949,046/x
  3. Step 3: Cross multiply
    7,844,301x = 16,949,046 × 16,949,046
  4. Step 4: Simplify right side
    7,844,301x = 287,270,160,310,116
  5. Step 5: Solve for x
    x = 287,270,160,310,116/7,844,301
  6. Step 6: Final answer
    x = 36,621,511.63

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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.