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Finding the Third Proportional to 10,775,016 and 23,941,521

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Solution

The third proportional to 10,775,016 and 23,941,521 is: 53,196,805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775,016 : 23,941,521 = 23,941,521 : x
  2. Step 2: Convert to fraction form
    10,775,016/23,941,521 = 23,941,521/x
  3. Step 3: Cross multiply
    10,775,016x = 23,941,521 × 23,941,521
  4. Step 4: Simplify right side
    10,775,016x = 573,196,427,793,441
  5. Step 5: Solve for x
    x = 573,196,427,793,441/10,775,016
  6. Step 6: Final answer
    x = 53,196,805.26

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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.