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Finding the Third Proportional to 9,570,197 and 21,000,422

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Solution

The third proportional to 9,570,197 and 21,000,422 is: 46,082,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,197 : 21,000,422 = 21,000,422 : x
  2. Step 2: Convert to fraction form
    9,570,197/21,000,422 = 21,000,422/x
  3. Step 3: Cross multiply
    9,570,197x = 21,000,422 × 21,000,422
  4. Step 4: Simplify right side
    9,570,197x = 441,017,724,178,084
  5. Step 5: Solve for x
    x = 441,017,724,178,084/9,570,197
  6. Step 6: Final answer
    x = 46,082,408.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.