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Finding the Third Proportional to 9,617,137.50 and 20,307,363

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Solution

The third proportional to 9,617,137.50 and 20,307,363 is: 42,880,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617,137.50 : 20,307,363 = 20,307,363 : x
  2. Step 2: Convert to fraction form
    9,617,137.50/20,307,363 = 20,307,363/x
  3. Step 3: Cross multiply
    9,617,137.50x = 20,307,363 × 20,307,363
  4. Step 4: Simplify right side
    9,617,137.50x = 412,388,992,013,769
  5. Step 5: Solve for x
    x = 412,388,992,013,769/9,617,137.50
  6. Step 6: Final answer
    x = 42,880,638.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.