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Finding the Third Proportional to 10,128,726 and 23,427,873

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Solution

The third proportional to 10,128,726 and 23,427,873 is: 54,188,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128,726 : 23,427,873 = 23,427,873 : x
  2. Step 2: Convert to fraction form
    10,128,726/23,427,873 = 23,427,873/x
  3. Step 3: Cross multiply
    10,128,726x = 23,427,873 × 23,427,873
  4. Step 4: Simplify right side
    10,128,726x = 548,865,233,304,129
  5. Step 5: Solve for x
    x = 548,865,233,304,129/10,128,726
  6. Step 6: Final answer
    x = 54,188,970.39

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.