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Finding the Third Proportional to 9,922,914 and 14,942,448

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Solution

The third proportional to 9,922,914 and 14,942,448 is: 22,501,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922,914 : 14,942,448 = 14,942,448 : x
  2. Step 2: Convert to fraction form
    9,922,914/14,942,448 = 14,942,448/x
  3. Step 3: Cross multiply
    9,922,914x = 14,942,448 × 14,942,448
  4. Step 4: Simplify right side
    9,922,914x = 223,276,752,232,704
  5. Step 5: Solve for x
    x = 223,276,752,232,704/9,922,914
  6. Step 6: Final answer
    x = 22,501,127.41

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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.