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Finding the Third Proportional to 9,624,399 and 21,400,582

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Solution

The third proportional to 9,624,399 and 21,400,582 is: 47,585,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624,399 : 21,400,582 = 21,400,582 : x
  2. Step 2: Convert to fraction form
    9,624,399/21,400,582 = 21,400,582/x
  3. Step 3: Cross multiply
    9,624,399x = 21,400,582 × 21,400,582
  4. Step 4: Simplify right side
    9,624,399x = 457,984,909,938,724
  5. Step 5: Solve for x
    x = 457,984,909,938,724/9,624,399
  6. Step 6: Final answer
    x = 47,585,819.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.