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Finding the Third Proportional to 10,221,682 and 21,861,634

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Solution

The third proportional to 10,221,682 and 21,861,634 is: 46,756,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221,682 : 21,861,634 = 21,861,634 : x
  2. Step 2: Convert to fraction form
    10,221,682/21,861,634 = 21,861,634/x
  3. Step 3: Cross multiply
    10,221,682x = 21,861,634 × 21,861,634
  4. Step 4: Simplify right side
    10,221,682x = 477,931,041,149,956
  5. Step 5: Solve for x
    x = 477,931,041,149,956/10,221,682
  6. Step 6: Final answer
    x = 46,756,594.58

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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.