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Finding the Third Proportional to 9,975,204 and 21,442,218

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Solution

The third proportional to 9,975,204 and 21,442,218 is: 46,091,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975,204 : 21,442,218 = 21,442,218 : x
  2. Step 2: Convert to fraction form
    9,975,204/21,442,218 = 21,442,218/x
  3. Step 3: Cross multiply
    9,975,204x = 21,442,218 × 21,442,218
  4. Step 4: Simplify right side
    9,975,204x = 459,768,712,759,524
  5. Step 5: Solve for x
    x = 459,768,712,759,524/9,975,204
  6. Step 6: Final answer
    x = 46,091,158.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.