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Finding the Third Proportional to 9,724,982 and 21,162,412

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Solution

The third proportional to 9,724,982 and 21,162,412 is: 46,051,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724,982 : 21,162,412 = 21,162,412 : x
  2. Step 2: Convert to fraction form
    9,724,982/21,162,412 = 21,162,412/x
  3. Step 3: Cross multiply
    9,724,982x = 21,162,412 × 21,162,412
  4. Step 4: Simplify right side
    9,724,982x = 447,847,681,657,744
  5. Step 5: Solve for x
    x = 447,847,681,657,744/9,724,982
  6. Step 6: Final answer
    x = 46,051,260.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.