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Finding the Third Proportional to 14,414,772 and 19,415,718

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Solution

The third proportional to 14,414,772 and 19,415,718 is: 26,151,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414,772 : 19,415,718 = 19,415,718 : x
  2. Step 2: Convert to fraction form
    14,414,772/19,415,718 = 19,415,718/x
  3. Step 3: Cross multiply
    14,414,772x = 19,415,718 × 19,415,718
  4. Step 4: Simplify right side
    14,414,772x = 376,970,105,455,524
  5. Step 5: Solve for x
    x = 376,970,105,455,524/14,414,772
  6. Step 6: Final answer
    x = 26,151,652.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.