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Finding the Third Proportional to 9,724,984 and 21,162,416

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Solution

The third proportional to 9,724,984 and 21,162,416 is: 46,051,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724,984 : 21,162,416 = 21,162,416 : x
  2. Step 2: Convert to fraction form
    9,724,984/21,162,416 = 21,162,416/x
  3. Step 3: Cross multiply
    9,724,984x = 21,162,416 × 21,162,416
  4. Step 4: Simplify right side
    9,724,984x = 447,847,850,957,056
  5. Step 5: Solve for x
    x = 447,847,850,957,056/9,724,984
  6. Step 6: Final answer
    x = 46,051,268.67

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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.