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Finding the Third Proportional to 9,570,195 and 21,000,419

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Solution

The third proportional to 9,570,195 and 21,000,419 is: 46,082,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,195 : 21,000,419 = 21,000,419 : x
  2. Step 2: Convert to fraction form
    9,570,195/21,000,419 = 21,000,419/x
  3. Step 3: Cross multiply
    9,570,195x = 21,000,419 × 21,000,419
  4. Step 4: Simplify right side
    9,570,195x = 441,017,598,175,561
  5. Step 5: Solve for x
    x = 441,017,598,175,561/9,570,195
  6. Step 6: Final answer
    x = 46,082,404.61

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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.