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Finding the Third Proportional to 9,949,524 and 21,421,200

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Solution

The third proportional to 9,949,524 and 21,421,200 is: 46,119,574.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949,524 : 21,421,200 = 21,421,200 : x
  2. Step 2: Convert to fraction form
    9,949,524/21,421,200 = 21,421,200/x
  3. Step 3: Cross multiply
    9,949,524x = 21,421,200 × 21,421,200
  4. Step 4: Simplify right side
    9,949,524x = 458,867,809,440,000
  5. Step 5: Solve for x
    x = 458,867,809,440,000/9,949,524
  6. Step 6: Final answer
    x = 46,119,574.11

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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.