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Finding the Third Proportional to 10,257,201 and 16,242,021

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Solution

The third proportional to 10,257,201 and 16,242,021 is: 25,718,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257,201 : 16,242,021 = 16,242,021 : x
  2. Step 2: Convert to fraction form
    10,257,201/16,242,021 = 16,242,021/x
  3. Step 3: Cross multiply
    10,257,201x = 16,242,021 × 16,242,021
  4. Step 4: Simplify right side
    10,257,201x = 263,803,246,164,441
  5. Step 5: Solve for x
    x = 263,803,246,164,441/10,257,201
  6. Step 6: Final answer
    x = 25,718,833.64

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Why These Related Problems?

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