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Finding the Third Proportional to 9,624,694.50 and 21,401,316

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Solution

The third proportional to 9,624,694.50 and 21,401,316 is: 47,587,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624,694.50 : 21,401,316 = 21,401,316 : x
  2. Step 2: Convert to fraction form
    9,624,694.50/21,401,316 = 21,401,316/x
  3. Step 3: Cross multiply
    9,624,694.50x = 21,401,316 × 21,401,316
  4. Step 4: Simplify right side
    9,624,694.50x = 458,016,326,531,856
  5. Step 5: Solve for x
    x = 458,016,326,531,856/9,624,694.50
  6. Step 6: Final answer
    x = 47,587,622.29

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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.