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Finding the Third Proportional to 9,922,932 and 14,942,478

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Solution

The third proportional to 9,922,932 and 14,942,478 is: 22,501,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922,932 : 14,942,478 = 14,942,478 : x
  2. Step 2: Convert to fraction form
    9,922,932/14,942,478 = 14,942,478/x
  3. Step 3: Cross multiply
    9,922,932x = 14,942,478 × 14,942,478
  4. Step 4: Simplify right side
    9,922,932x = 223,277,648,780,484
  5. Step 5: Solve for x
    x = 223,277,648,780,484/9,922,932
  6. Step 6: Final answer
    x = 22,501,176.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.