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Finding the Third Proportional to 9,686,084 and 21,261,452

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Solution

The third proportional to 9,686,084 and 21,261,452 is: 46,669,979.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686,084 : 21,261,452 = 21,261,452 : x
  2. Step 2: Convert to fraction form
    9,686,084/21,261,452 = 21,261,452/x
  3. Step 3: Cross multiply
    9,686,084x = 21,261,452 × 21,261,452
  4. Step 4: Simplify right side
    9,686,084x = 452,049,341,148,304
  5. Step 5: Solve for x
    x = 452,049,341,148,304/9,686,084
  6. Step 6: Final answer
    x = 46,669,979.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.