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Finding the Third Proportional to 10,257,204 and 16,242,024

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Solution

The third proportional to 10,257,204 and 16,242,024 is: 25,718,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,204 : 16,242,024 = 16,242,024 : x
  2. Step 2: Convert to fraction form
    10,257,204/16,242,024 = 16,242,024/x
  3. Step 3: Cross multiply
    10,257,204x = 16,242,024 × 16,242,024
  4. Step 4: Simplify right side
    10,257,204x = 263,803,343,616,576
  5. Step 5: Solve for x
    x = 263,803,343,616,576/10,257,204
  6. Step 6: Final answer
    x = 25,718,835.62

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.