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Finding the Third Proportional to 9,197,032 and 13,922,784

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Solution

The third proportional to 9,197,032 and 13,922,784 is: 21,076,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197,032 : 13,922,784 = 13,922,784 : x
  2. Step 2: Convert to fraction form
    9,197,032/13,922,784 = 13,922,784/x
  3. Step 3: Cross multiply
    9,197,032x = 13,922,784 × 13,922,784
  4. Step 4: Simplify right side
    9,197,032x = 193,843,914,310,656
  5. Step 5: Solve for x
    x = 193,843,914,310,656/9,197,032
  6. Step 6: Final answer
    x = 21,076,790.24

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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.