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Finding the Third Proportional to 4,129,947 and 8,857,764

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Solution

The third proportional to 4,129,947 and 8,857,764 is: 18,997,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129,947 : 8,857,764 = 8,857,764 : x
  2. Step 2: Convert to fraction form
    4,129,947/8,857,764 = 8,857,764/x
  3. Step 3: Cross multiply
    4,129,947x = 8,857,764 × 8,857,764
  4. Step 4: Simplify right side
    4,129,947x = 78,459,983,079,696
  5. Step 5: Solve for x
    x = 78,459,983,079,696/4,129,947
  6. Step 6: Final answer
    x = 18,997,818.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.