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Finding the Third Proportional to 10,365,256 and 16,223,016

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Solution

The third proportional to 10,365,256 and 16,223,016 is: 25,391,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365,256 : 16,223,016 = 16,223,016 : x
  2. Step 2: Convert to fraction form
    10,365,256/16,223,016 = 16,223,016/x
  3. Step 3: Cross multiply
    10,365,256x = 16,223,016 × 16,223,016
  4. Step 4: Simplify right side
    10,365,256x = 263,186,248,136,256
  5. Step 5: Solve for x
    x = 263,186,248,136,256/10,365,256
  6. Step 6: Final answer
    x = 25,391,196.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.