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Finding the Third Proportional to 4,397,022 and 9,688,527

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Solution

The third proportional to 4,397,022 and 9,688,527 is: 21,347,984.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,397,022 : 9,688,527 = 9,688,527 : x
  2. Step 2: Convert to fraction form
    4,397,022/9,688,527 = 9,688,527/x
  3. Step 3: Cross multiply
    4,397,022x = 9,688,527 × 9,688,527
  4. Step 4: Simplify right side
    4,397,022x = 93,867,555,429,729
  5. Step 5: Solve for x
    x = 93,867,555,429,729/4,397,022
  6. Step 6: Final answer
    x = 21,347,984.03

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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.