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Finding the Third Proportional to 4,102,418 and 8,976,964

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Solution

The third proportional to 4,102,418 and 8,976,964 is: 19,643,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102,418 : 8,976,964 = 8,976,964 : x
  2. Step 2: Convert to fraction form
    4,102,418/8,976,964 = 8,976,964/x
  3. Step 3: Cross multiply
    4,102,418x = 8,976,964 × 8,976,964
  4. Step 4: Simplify right side
    4,102,418x = 80,585,882,657,296
  5. Step 5: Solve for x
    x = 80,585,882,657,296/4,102,418
  6. Step 6: Final answer
    x = 19,643,508.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.